{"segment":[{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":5,"ques":"Gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c: $1 - \\dfrac{-1}{4} + \\dfrac{-5}{9} - \\dfrac{7}{12}$ l\u00e0: ","select":["A. $\\dfrac{8}{9}$ ","B. $\\dfrac{-1}{9}$ ","C. $\\dfrac{1}{9}$","D. $\\dfrac{-7}{18}$ "],"hint":"Quy \u0111\u1ed3ng r\u1ed3i th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b>Quy \u0111\u1ed3ng c\u00e1c ph\u00e2n s\u1ed1 tr\u00ean v\u1edbi m\u1eabu s\u1ed1 chung l\u00e0 36 <br\/> <b> B\u01b0\u1edbc 2: <\/b> Th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh theo quy t\u1eafc c\u1ed9ng, tr\u1eeb c\u00e1c ph\u00e2n s\u1ed1 c\u00f9ng m\u1eabu <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\begin{align*} & 1 - \\dfrac{-1}{4} + \\dfrac{-5}{9} - \\dfrac{7}{12} \\\\ &= \\dfrac{1 . 36}{1 . 36} - \\dfrac{-1 . 9}{4 . 9} + \\dfrac{-5 . 4}{9 . 4} - \\dfrac{7 . 3}{12 . 3} \\\\ &= \\dfrac{36}{36} - \\dfrac{-9}{36} + \\dfrac{-20}{36} - \\dfrac{21}{36} \\\\ &= \\dfrac{36 - (-9) + (-20) - 21}{36} \\\\ &= \\dfrac{36 + 9 - 20 - 21}{36} \\\\ &= \\dfrac{4}{36} \\\\ &= \\dfrac{1}{9} \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C <\/span> <br\/> <span class='basic_green'> <i> L\u01b0u \u00fd: H\u1ecdc sinh hay m\u1eafc sai l\u1ea7m khi b\u1ecf ngo\u1eb7c m\u00e0 \u0111\u1eb1ng tr\u01b0\u1edbc d\u1ea5u ngo\u1eb7c c\u00f3 d\u1ea5u tr\u1eeb ta kh\u00f4ng \u0111\u1ed5i d\u1ea5u c\u1ee7a ph\u00e9p t\u00ednh trong ngo\u1eb7c d\u1eabn \u0111\u1ebfn t\u00ednh to\u00e1n sai <\/i><\/span> ","column":4}]}],"id_ques":1621},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[4]],"list":[{"point":5,"ques":"Gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c: $ \\dfrac{25}{48} + \\dfrac{7}{12} - \\dfrac{9}{16} - \\dfrac{1}{8} $ l\u00e0: ","select":["A. $\\dfrac{-2}{3}$ ","B. $\\dfrac{2}{3}$ ","C. $\\dfrac{-5}{12}$","D. $\\dfrac{5}{12}$ "],"hint":"Quy \u0111\u1ed3ng v\u00e0 th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b>Quy \u0111\u1ed3ng c\u00e1c ph\u00e2n s\u1ed1 tr\u00ean v\u1edbi m\u1eabu s\u1ed1 chung l\u00e0 48 <br\/> <b> B\u01b0\u1edbc 2: <\/b> Th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh theo quy t\u1eafc c\u1ed9ng, tr\u1eeb c\u00e1c ph\u00e2n s\u1ed1 c\u00f9ng m\u1eabu <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\begin{align*} & \\dfrac{25}{48} + \\dfrac{7}{12} - \\dfrac{9}{16} - \\dfrac{1}{8} \\\\ &= \\dfrac{25}{48} + \\dfrac{7 . 4}{12 . 4} - \\dfrac{9 . 3}{16 . 3} - \\dfrac{1 . 6}{8 . 6} \\\\ &= \\dfrac{25}{48} + \\dfrac{28}{48} - \\dfrac{27}{48} - \\dfrac{6}{48} \\\\ &= \\dfrac{25 + 28 - 27 - 6}{48} \\\\ &= \\dfrac{20}{48} \\\\ &= \\dfrac{20 : 4}{48 : 4} \\\\ &= \\dfrac{5}{12} \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: D <\/span> <br\/> <span class='basic_green'> <i> Nh\u1eadn x\u00e9t: N\u00ean r\u00fat g\u1ecdn v\u1ec1 ph\u00e2n s\u1ed1 t\u1ed1i gi\u1ea3n tr\u01b0\u1edbc v\u00e0 sau khi th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh <\/i><\/span> ","column":4}]}],"id_ques":1622},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":5,"ques":"Gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c: $ \\dfrac{11}{-16} - \\dfrac{7}{20} + \\dfrac{43}{80}$ l\u00e0: ","select":["A. $\\dfrac{-1}{2}$ ","B. $\\dfrac{1}{2}$ ","C. $\\dfrac{7}{8}$","D. $\\dfrac{-7}{8}$ "],"hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b< B\u01b0\u1edbc 1: <\/b> \u0110\u01b0a ph\u00e2n s\u1ed1 $\\dfrac{11}{-16}$ v\u1ec1 m\u1eabu d\u01b0\u01a1ng <br\/> <b> B\u01b0\u1edbc 2: <\/b>Quy \u0111\u1ed3ng c\u00e1c ph\u00e2n s\u1ed1 tr\u00ean v\u1edbi m\u1eabu s\u1ed1 chung l\u00e0 80 <br\/> <b> B\u01b0\u1edbc 3: <\/b> Th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh theo quy t\u1eafc c\u1ed9ng, tr\u1eeb c\u00e1c ph\u00e2n s\u1ed1 c\u00f9ng m\u1eabu <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\begin{align*} & \\dfrac{11}{-16} - \\dfrac{7}{20} + \\dfrac{43}{80} \\\\ &= \\dfrac{11 . (-1)}{-16 . (-1)} - \\dfrac{7}{20} - \\dfrac{43}{80} \\\\ &= \\dfrac{-11 . 5}{16 . 5} - \\dfrac{7 . 4}{20 . 4} + \\dfrac{43}{80} \\\\ &= \\dfrac{-55}{50} - \\dfrac{28}{80} + \\dfrac{43}{80} \\\\ &= \\dfrac{-55 - 28 + 43}{80} \\\\ &= \\dfrac{-40}{80} \\\\ &= \\dfrac{-40 : 40}{80 : 40} \\\\ &= \\dfrac{-1}{2} \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: A <\/span> ","column":4}]}],"id_ques":1623},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[[">"]]],"list":[{"point":5,"width":50,"type_input":"","ques":"H\u00e3y \u0111i\u1ec1n d\u1ea5u th\u00edch h\u1ee3p v\u00e0o \u00f4 tr\u1ed1ng <br\/> <br\/> $\\dfrac{-7}{8} - \\dfrac{-1}{4}$ _input_ $\\dfrac{-3}{4}$ ","hint":"","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: <br\/>$\\dfrac{-7}{8} - \\dfrac{-1}{4} = \\dfrac{-7}{8} - \\dfrac{-2}{8} = \\dfrac{-7 - (-2)}{8} = \\dfrac{-7 + 2}{8} = \\dfrac{-5}{8}$ <br\/> $\\dfrac{-3}{4} = \\dfrac{-3 . 2}{4 . 2} = \\dfrac{-6}{8}$ <br\/> V\u00ec $\\dfrac{-5}{8} > \\dfrac{-6}{8}$ <br\/> N\u00ean $\\dfrac{-7}{8} - \\dfrac{-1}{4} > \\dfrac{-3}{4}$ <br\/> <span class='basic_pink'> V\u1eady d\u1ea5u c\u1ea7n \u0111i\u1ec1n l\u00e0: > <\/span> "}]}],"id_ques":1624},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["<"]]],"list":[{"point":5,"width":50,"type_input":"","ques":"H\u00e3y \u0111i\u1ec1n d\u1ea5u th\u00edch h\u1ee3p v\u00e0o \u00f4 tr\u1ed1ng <br\/> <br\/> $\\dfrac{7}{-4}$ _input_ $\\dfrac{-1}{4} - \\dfrac{-3}{4}$ ","hint":"","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: <br\/>$\\dfrac{-1}{4} - \\dfrac{-3}{4} = \\dfrac{-1 - (-3)}{4} = \\dfrac{-1 + 3)}{4} = \\dfrac{2}{4}$ <br\/> $\\dfrac{7}{-4} = \\dfrac{7 . (-1)}{-4 . (-1)} = \\dfrac{-7}{4}$ <br\/> V\u00ec $\\dfrac{-7}{4} < \\dfrac{2}{4}$ <br\/> N\u00ean $\\dfrac{7}{-4} < \\dfrac{-1}{4} - \\dfrac{-3}{4}$ <br\/> <span class='basic_pink'> V\u1eady d\u1ea5u c\u1ea7n \u0111i\u1ec1n l\u00e0: < <\/span> "}]}],"id_ques":1625},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[[">"]]],"list":[{"point":5,"width":50,"type_input":"","ques":"H\u00e3y \u0111i\u1ec1n d\u1ea5u th\u00edch h\u1ee3p v\u00e0o \u00f4 tr\u1ed1ng <br\/> <br\/> $\\dfrac{8}{11}$ _input_ $\\dfrac{1}{8} - \\dfrac{4}{11}$ ","hint":"","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: <br\/>$\\dfrac{1}{8} - \\dfrac{4}{11} = \\dfrac{1 . 11}{8 . 11} - \\dfrac{4 . 8}{11 . 8} = \\dfrac{11}{88} - \\dfrac{32}{88} = \\dfrac{11 - 32}{88} = \\dfrac{-21}{88}$ <br\/> V\u00ec $\\dfrac{-21}{88} < 0$; $\\dfrac{8}{11}$ > 0 $\\Rightarrow$ $\\dfrac{8}{11} > \\dfrac{-21}{88}$ <br\/> N\u00ean $\\dfrac{8}{11} > \\dfrac{1}{8} - \\dfrac{4}{11}$ <br\/> <span class='basic_pink'> V\u1eady d\u1ea5u c\u1ea7n \u0111i\u1ec1n l\u00e0: > <\/span> "}]}],"id_ques":1626},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":5,"ques":"T\u00ecm x bi\u1ebft: <br\/><br\/> $ x - \\dfrac{5}{3} - \\dfrac{1}{2} = \\dfrac{2}{9}$ <br\/> \u0110\u00e1p \u00e1n l\u00e0: ","select":["A. $x = \\dfrac{43}{18}$ ","B. $x = \\dfrac{-17}{18}$ ","C. $x = \\dfrac{-43}{18}$","D. $x = \\dfrac{17}{18}$ "],"hint":"Chuy\u1ec3n c\u00e1c to\u00e1n h\u1ea1ng kh\u00f4ng ch\u1ee9a x sang v\u1ebf ph\u1ea3i r\u1ed3i th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> Chuy\u1ec3n c\u00e1c to\u00e1n h\u1ea1ng kh\u00f4ng ch\u1ee9a x sang v\u1ebf ph\u1ea3i <br\/> <b> B\u01b0\u1edbc 2: <\/b> Quy \u0111\u1ed3ng m\u1eabu s\u1ed1 c\u00e1c ph\u00e2n s\u1ed1 <br\/> <b> B\u01b0\u1edbc 3: <\/b> Th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh theo quy t\u1eafc c\u1ed9ng, tr\u1eeb c\u00e1c ph\u00e2n s\u1ed1 c\u00f9ng m\u1eabu <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\begin{align*} x - \\dfrac{5}{3} - \\dfrac{1}{2} &= \\dfrac{2}{9} \\\\ x &= \\dfrac{2}{9} + \\dfrac{5}{3} + \\dfrac{1}{2} \\\\ x &= \\dfrac{2 . 2}{9 . 2} + \\dfrac{5 . 6}{3 . 6} + \\dfrac{1 . 9}{2 . 9} \\\\ x &= \\dfrac{4}{18} + \\dfrac{30}{18} + \\dfrac{9}{18} \\\\ x &= \\dfrac{4 + 30 + 9}{18} \\\\ x &= \\dfrac{43}{18} \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: A <\/span> ","column":4}]}],"id_ques":1627},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[4]],"list":[{"point":5,"ques":"T\u00ecm x bi\u1ebft: <br\/><br\/> $ x + 1 - \\dfrac{3}{4} = -\\dfrac{1}{6}$ <br\/> \u0110\u00e1p \u00e1n l\u00e0: ","select":["A. $x = \\dfrac{1}{12}$ ","B. $x = \\dfrac{-1}{12}$ ","C. $x = \\dfrac{5}{12}$","D. $x = \\dfrac{-5}{12}$ "],"hint":"Chuy\u1ec3n c\u00e1c to\u00e1n h\u1ea1ng kh\u00f4ng ch\u1ee9a x sang v\u1ebf ph\u1ea3i r\u1ed3i th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> Chuy\u1ec3n c\u00e1c to\u00e1n h\u1ea1ng kh\u00f4ng ch\u1ee9a x sang v\u1ebf ph\u1ea3i <br\/> <b> B\u01b0\u1edbc 2: <\/b> Quy \u0111\u1ed3ng m\u1eabu s\u1ed1 c\u00e1c ph\u00e2n s\u1ed1 <br\/> <b> B\u01b0\u1edbc 3: <\/b> Th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh theo quy t\u1eafc c\u1ed9ng, tr\u1eeb c\u00e1c ph\u00e2n s\u1ed1 c\u00f9ng m\u1eabu <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\begin{align*} x + 1 - \\dfrac{3}{4} &= -\\dfrac{1}{6} \\\\ x &= -\\dfrac{1}{6} + \\dfrac{3}{4} - 1 \\\\ x &= -\\dfrac{1 . 2}{6 . 2} + \\dfrac{3 . 3}{4 . 3} - \\dfrac{12}{12} \\\\ x &= -\\dfrac{2}{12} + \\dfrac{9}{12} - \\dfrac{12}{12} \\\\ x &= \\dfrac{-2 + 9 - 12}{12} \\\\ x &= \\dfrac{-5}{12} \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: D <\/span> ","column":4}]}],"id_ques":1628},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":5,"ques":"T\u00ecm x bi\u1ebft: <br\/><br\/> $ x + \\dfrac{1}{2} -\\dfrac{1}{6} = \\dfrac{1}{9}$ <br\/> \u0110\u00e1p \u00e1n l\u00e0: ","select":["A. $x = \\dfrac{7}{9}$ ","B. $x = \\dfrac{-2}{9}$ ","C. $x = \\dfrac{2}{9}$","D. $x = \\dfrac{-7}{9}$ "],"hint":"Chuy\u1ec3n c\u00e1c to\u00e1n h\u1ea1ng kh\u00f4ng ch\u1ee9a x sang v\u1ebf ph\u1ea3i r\u1ed3i th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> Chuy\u1ec3n c\u00e1c to\u00e1n h\u1ea1ng kh\u00f4ng ch\u1ee9a x sang v\u1ebf ph\u1ea3i <br\/> <b> B\u01b0\u1edbc 2: <\/b> Quy \u0111\u1ed3ng m\u1eabu s\u1ed1 c\u00e1c ph\u00e2n s\u1ed1 <br\/> <b> B\u01b0\u1edbc 3: <\/b> Th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh theo quy t\u1eafc c\u1ed9ng, tr\u1eeb c\u00e1c ph\u00e2n s\u1ed1 c\u00f9ng m\u1eabu <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\begin{align*} x + \\dfrac{1}{2} -\\dfrac{1}{6} &= \\dfrac{1}{9} \\\\ x &= \\dfrac{1}{9} - \\dfrac{1}{2} + \\dfrac{1}{6} \\\\ x &= \\dfrac{1 . 2}{9 . 2} - \\dfrac{1 . 9}{2 . 9} + \\dfrac{1 . 3}{6 . 3} \\\\ x &= \\dfrac{2}{18} - \\dfrac{9}{18} + \\dfrac{3}{18} \\\\ x &= \\dfrac{2 - 9 + 3}{18} \\\\ x &= \\dfrac{-4}{18} \\\\ x &= \\dfrac{-2}{9} \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: B <\/span> ","column":4}]}],"id_ques":1629},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":5,"ques":"M\u1ed9t ng\u01b0\u1eddi \u0111i qu\u00e3ng \u0111\u01b0\u1eddng AB trong 4 gi\u1edd. Gi\u1edd \u0111\u1ea7u \u0111i \u0111\u01b0\u1ee3c $\\dfrac{1}{3}$ qu\u00e3ng \u0111\u01b0\u1eddng AB. Gi\u1edd th\u1ee9 hai \u0111i k\u00e9m gi\u1edd \u0111\u1ea7u $\\dfrac{1}{12}$ qu\u00e3ng \u0111\u01b0\u1eddng AB, gi\u1edd th\u1ee9 3 \u0111i k\u00e9m gi\u1edd th\u1ee9 hai $\\dfrac{1}{12}$ qu\u00e3ng \u0111\u01b0\u1eddng AB. H\u1ecfi gi\u1edd th\u1ee9 t\u01b0 ng\u01b0\u1eddi \u0111\u00f3 \u0111i \u0111\u01b0\u1ee3c bao nhi\u00eau ph\u1ea7n qu\u00e3ng \u0111\u01b0\u1eddng AB? <br\/> \u0110\u00e1p \u00e1n l\u00e0: ","select":["A. $\\dfrac{3}{4}$ qu\u00e3ng \u0111\u01b0\u1eddng AB ","B. $\\dfrac{1}{4}$ qu\u00e3ng \u0111\u01b0\u1eddng AB ","C. $\\dfrac{1}{6}$ qu\u00e3ng \u0111\u01b0\u1eddng AB ","D. $\\dfrac{1}{2}$ qu\u00e3ng \u0111\u01b0\u1eddng AB "],"hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> T\u00ednh qu\u00e3ng \u0111\u01b0\u1eddng ng\u01b0\u1eddi \u0111\u00f3 \u0111i \u0111\u01b0\u1ee3c trong gi\u1edd th\u1ee9 2 <br\/> <b> B\u01b0\u1edbc 2: <\/b> T\u00ednh qu\u00e3ng \u0111\u01b0\u1eddng ng\u01b0\u1eddi \u0111\u00f3 \u0111i \u0111\u01b0\u1ee3c trong gi\u1edd th\u1ee9 3 <br\/> <b> B\u01b0\u1edbc 3: <\/b> T\u00ednh qu\u00e3ng \u0111\u01b0\u1eddng ng\u01b0\u1eddi \u0111\u00f3 \u0111i \u0111\u01b0\u1ee3c trong gi\u1edd th\u1ee9 t\u01b0 <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> Qu\u00e3ng \u0111\u01b0\u1eddng ng\u01b0\u1eddi \u0111\u00f3 \u0111i \u0111\u01b0\u1ee3c trong gi\u1edd th\u1ee9 hai l\u00e0: <br\/> $\\dfrac{1}{3} - \\dfrac{1}{12} = \\dfrac{1}{4}$ (qu\u00e3ng \u0111\u01b0\u1eddng AB) <br\/> Qu\u00e3ng \u0111\u01b0\u1eddng ng\u01b0\u1eddi \u0111\u00f3 \u0111i \u0111\u01b0\u1ee3c trong gi\u1edd th\u1ee9 ba l\u00e0: <br\/> $\\dfrac{1}{4} - \\dfrac{1}{12} = \\dfrac{1}{6}$ (qu\u00e3ng \u0111\u01b0\u1eddng AB) <br\/> Qu\u00e3ng \u0111\u01b0\u1eddng ng\u01b0\u1eddi \u0111\u00f3 \u0111\u00e3 \u0111i trong gi\u1edd th\u1ee9 4 l\u00e0: <br\/> $1 - \\dfrac{1}{3} - \\dfrac{1}{4} - \\dfrac{1}{6} = \\dfrac{1}{4}$ (qu\u00e3ng \u0111\u01b0\u1eddng AB) <br\/> \u0110\u00e1p s\u1ed1: $\\dfrac{1}{4}$ qu\u00e3ng \u0111\u01b0\u1eddng AB <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: B <\/span> ","column":2}]}],"id_ques":1630},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":5,"ques":"M\u1ed9t \u0111\u1ed9i s\u1ea3n xu\u1ea5t c\u00f3 s\u1ed1 nh\u00e2n vi\u00ean nam b\u1eb1ng $\\dfrac{3}{7}$ s\u1ed1 ng\u01b0\u1eddi c\u1ee7a \u0111\u1ed9i. H\u1ecfi s\u1ed1 nh\u00e2n vi\u00ean n\u1eef b\u1eb1ng bao nhi\u00eau ph\u1ea7n s\u1ed1 ng\u01b0\u1eddi c\u1ee7a \u0111\u1ed9i? <br\/> \u0110\u00e1p \u00e1n l\u00e0: ","select":["A. $\\dfrac{4}{7}$ ","B. $\\dfrac{2}{7}$ ","C. $\\dfrac{1}{7}$ ","D. $\\dfrac{6}{7}$ "],"hint":"","explain":"<span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> S\u1ed1 nh\u00e2n vi\u00ean n\u1eef chi\u1ebfm s\u1ed1 ph\u1ea7n l\u00e0: <br\/> $1 - \\dfrac{3}{7} = \\dfrac{4}{7}$ (s\u1ed1 ng\u01b0\u1eddi c\u1ee7a \u0111\u1ed9i) <br\/> \u0110\u00e1p s\u1ed1: $\\dfrac{4}{7}$ s\u1ed1 ng\u01b0\u1eddi c\u1ee7a \u0111\u1ed9i <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: A <\/span> ","column":2}]}],"id_ques":1631},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":5,"ques":"L\u1edbp 6A c\u00f3 $\\dfrac{1}{4}$ s\u1ed1 h\u1ecdc sinh tham gia c\u00e2u l\u1ea1c b\u1ed9 To\u00e1n, $\\dfrac{1}{2}$ s\u1ed1 h\u1ecdc sinh tham gia c\u00e2u l\u1ea1c b\u1ed9 V\u1eadt L\u00fd, c\u00f2n l\u1ea1i c\u00e1c b\u1ea1n tham gia c\u00e2u l\u1ea1c b\u1ed9 V\u0103n. H\u1ecfi s\u1ed1 b\u1ea1n tham gia c\u00e2u l\u1ea1c b\u1ed9 V\u0103n chi\u1ebfm bao nhi\u00eau ph\u1ea7n s\u1ed1 h\u1ecdc sinh c\u1ea3 l\u1edbp? <br\/> \u0110\u00e1p \u00e1n l\u00e0: ","select":["A. $\\dfrac{1}{2}$ ","B. $\\dfrac{3}{4}$ ","C. $\\dfrac{1}{4}$ ","D. $\\dfrac{2}{3}$ "],"hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> S\u1ed1 ng\u01b0\u1eddi tham gia c\u00e2u l\u1ea1c b\u1ed9 V\u0103n = s\u1ed1 ng\u01b0\u1eddi c\u1ee7a l\u1edbp - s\u1ed1 ng\u01b0\u1eddi tham gia c\u00e2u l\u1ea1c b\u1ed9 To\u00e1n - s\u1ed1 ng\u01b0\u1eddi tham gia c\u00e2u l\u1ea1c b\u1ed9 V\u1eadt L\u00fd <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> S\u1ed1 b\u1ea1n tham gia c\u00e2u l\u1ea1c b\u1ed9 V\u0103n chi\u1ebfm s\u1ed1 ph\u1ea7n so v\u1edbi h\u1ecdc sinh c\u1ea3 l\u1edbp l\u00e0: <br\/> $1 - \\dfrac{1}{4} - \\dfrac{1}{2} = \\dfrac{1}{4}$ (s\u1ed1 h\u1ecdc sinh c\u1ea3 l\u1edbp) <br\/> \u0110\u00e1p s\u1ed1: $\\dfrac{1}{4}$ s\u1ed1 h\u1ecdc sinh c\u1ea3 l\u1edbp <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C <\/span> ","column":2}]}],"id_ques":1632},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["4"]]],"list":[{"point":5,"width":50,"type_input":"","input_hint":["frac"],"ques":"T\u00ednh b\u1eb1ng c\u00e1ch h\u1ee3p l\u00fd. <br\/> <br\/> $\\dfrac{-131}{-83} - \\dfrac{-24}{-97} + \\dfrac{-218}{-97} - \\dfrac{35}{-83} $ = _input_ ","hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> \u0110\u01b0a c\u00e1c ph\u00e2n s\u1ed1 c\u00f3 m\u1eabu \u00e2m v\u1ec1 m\u1eabu d\u01b0\u01a1ng <br\/> <b> B\u01b0\u1edbc 2: <\/b> Nh\u00f3m c\u00e1c ph\u00e2n s\u1ed1 c\u00f9ng m\u1eabu <br\/> <b> B\u01b0\u1edbc 3: <\/b> Bi\u1ebfn \u0111\u1ed5i t\u00ecm k\u1ebft qu\u1ea3 cu\u1ed1i c\u00f9ng <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> $\\begin{align*} & \\dfrac{-131}{-83} - \\dfrac{-24}{-97} + \\dfrac{-218}{-97} - \\dfrac{35}{-83} \\\\ &= \\dfrac{-131 . (-1)}{-83 . (-1)} - \\dfrac{-24 . (-1)}{-97 . (-1)} + \\dfrac{-218 . (-1)}{-97 . (-1)} - \\dfrac{35 . (-1)}{-83 . (-1)} \\\\ &= \\dfrac{131}{83} - \\dfrac{24}{97} + \\dfrac{218}{97} - \\dfrac{-35}{83} \\\\ &= \\left( \\dfrac{131}{83} - \\dfrac{-35}{83} \\right) + \\left( -\\dfrac{24}{97} + \\dfrac{218}{97} \\right) \\\\ &= \\dfrac{131 - (-35)}{83} + \\dfrac{-24 + 218}{97} \\\\ &= \\dfrac{166}{83} + \\dfrac{194}{97} \\\\ &= 2 + 2 \\\\ &= 4 \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 4 <\/span> "}]}],"id_ques":1633},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["0"]]],"list":[{"point":5,"width":50,"type_input":"","input_hint":["frac"],"ques":"T\u00ednh b\u1eb1ng c\u00e1ch h\u1ee3p l\u00fd. <br\/> <br\/> $\\dfrac{-72}{43} + \\dfrac{-183}{-71} + \\dfrac{-158}{-43} + \\dfrac{-325}{71} $ = _input_ ","hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> \u0110\u01b0a c\u00e1c ph\u00e2n s\u1ed1 c\u00f3 m\u1eabu \u00e2m v\u1ec1 m\u1eabu d\u01b0\u01a1ng <br\/> <b> B\u01b0\u1edbc 2: <\/b> Nh\u00f3m c\u00e1c ph\u00e2n s\u1ed1 c\u00f9ng m\u1eabu <br\/> <b> B\u01b0\u1edbc 3: <\/b> Bi\u1ebfn \u0111\u1ed5i t\u00ecm k\u1ebft qu\u1ea3 cu\u1ed1i c\u00f9ng <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> $\\begin{align*} & \\dfrac{-72}{43} + \\dfrac{-183}{-71} + \\dfrac{-158}{-43} + \\dfrac{-325}{71} \\\\ &= \\dfrac{-72}{43} + \\dfrac{-183 . (-1)}{-71 . (-1)} + \\dfrac{-158 . (-1)}{-43 . (-1)} + \\dfrac{-325}{71} \\\\ &= \\dfrac{-72}{43} + \\dfrac{183}{71} + \\dfrac{158}{43} + \\dfrac{-325}{71} \\\\ &= \\left( \\dfrac{-72}{43} + \\dfrac{158}{43} \\right) + \\left( \\dfrac{183}{71} + \\dfrac{-325}{71} \\right) \\\\ &= \\dfrac{-72 + 158}{43} + \\dfrac{183 + (-325)}{71} \\\\ &= \\dfrac{86}{43} + \\dfrac{-142}{71} \\\\ &= 2 + (-2) \\\\ &= 0 \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 0 <\/span> "}]}],"id_ques":1634},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["-1"]]],"list":[{"point":5,"width":50,"ques":"T\u00ednh b\u1eb1ng c\u00e1ch h\u1ee3p l\u00fd. <br\/> <br\/> $\\dfrac{46}{13} + \\dfrac{19}{11} + \\dfrac{85}{-13} + \\dfrac{-3}{-11} $ = _input_ ","hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> \u0110\u01b0a c\u00e1c ph\u00e2n s\u1ed1 c\u00f3 m\u1eabu \u00e2m v\u1ec1 m\u1eabu d\u01b0\u01a1ng <br\/> <b> B\u01b0\u1edbc 2: <\/b> Nh\u00f3m c\u00e1c ph\u00e2n s\u1ed1 c\u00f9ng m\u1eabu <br\/> <b> B\u01b0\u1edbc 3: <\/b> Bi\u1ebfn \u0111\u1ed5i t\u00ecm k\u1ebft qu\u1ea3 cu\u1ed1i c\u00f9ng <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> $\\begin{align*} & \\dfrac{46}{13} + \\dfrac{19}{11} + \\dfrac{85}{-13} + \\dfrac{-3}{-11} \\\\ &= \\dfrac{46}{13} + \\dfrac{19}{11} + \\dfrac{85 . (-1)}{-13 . (-1)} + \\dfrac{-3 . (-1)}{-11 . (-1)} \\\\ &= \\dfrac{46}{13} + \\dfrac{19}{11} + \\dfrac{-85}{13} + \\dfrac{3}{11} \\\\ &= \\left( \\dfrac{46}{13} + \\dfrac{-85}{13} \\right) + \\left( \\dfrac{19}{11} + \\dfrac{3}{11} \\right) \\\\ &= \\dfrac{46 + (-85)}{13} + \\dfrac{19 + 3}{11} \\\\ &= \\dfrac{-39}{13} + \\dfrac{22}{11} \\\\ &= -3 + 2 \\\\ &= -1 \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: -1 <\/span> "}]}],"id_ques":1635},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["0"],["46"],["35"],["5"],["56"]]],"list":[{"point":5,"width":50,"type_input":"","input_hint":["frac"],"ques":"T\u00ednh r\u1ed3i r\u00fat g\u1ecdn n\u1ebfu c\u00f3 th\u1ec3. <br\/> <br\/> <table><tr><th> a <\/th><th>$\\dfrac{-5}{7}$<\/th><th>$\\dfrac{3}{5}$<\/th><th>$\\dfrac{5}{-8}$<\/th><\/tr><tr><td>$a - \\dfrac{-5}{7}$<\/td><td>_input_<\/td><td><div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">_input_<\/div><\/div><\/td><td><div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">_input_<\/div><\/div><\/td><\/tr><\/table> ","hint":"L\u1ea5y l\u1ea7n l\u01b0\u1ee3t c\u00e1c ph\u00e2n s\u1ed1 \u1edf h\u00e0ng 1 tr\u1eeb ph\u00e2n s\u1ed1 $\\dfrac{-5}{7}$ ","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> T\u00ednh $\\dfrac{-5}{7} - \\dfrac{-5}{7}$ r\u1ed3i \u0111i\u1ec1n k\u1ebft qu\u1ea3 v\u00e0o \u00f4 th\u1ee9 nh\u1ea5t <br\/> T\u00ednh $\\dfrac{3}{5} - \\dfrac{-5}{7}$ r\u1ed3i \u0111i\u1ec1n k\u1ebft qu\u1ea3 v\u00e0o \u00f4 th\u1ee9 hai <br\/> T\u00ednh $\\dfrac{5}{-8} - \\dfrac{-5}{7}$ r\u1ed3i \u0111i\u1ec1n k\u1ebft qu\u1ea3 v\u00e0o \u00f4 th\u1ee9 3 <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: <br\/> V\u1edbi $a = \\dfrac{-5}{7}$ $\\Rightarrow$ $a - \\dfrac{-5}{7} = \\dfrac{-5}{7} - \\dfrac{-5}{7} = \\dfrac{-5 - (-5)}{7} = \\dfrac{-5 + 5}{7} = 0$ <br\/><br\/> V\u1edbi $a = \\dfrac{3}{5}$ $\\Rightarrow$ $a - \\dfrac{-5}{7} = \\dfrac{3}{5} - \\dfrac{-5}{7} = \\dfrac{21}{35} - \\dfrac{-25}{35} = \\dfrac{21 - (-25)}{35} = \\dfrac{21 + 25}{35} = \\dfrac{46}{35}$ <br\/><br\/> V\u1edbi $a = \\dfrac{5}{-8}$ $\\Rightarrow$ $a - \\dfrac{-5}{7} = \\dfrac{5}{-8} - \\dfrac{-5}{7} = \\dfrac{-5}{8} - \\dfrac{-5}{7} = \\dfrac{-35}{56} - \\dfrac{-40}{56} = \\dfrac{-35 - (-40)}{56} = \\dfrac{5}{56}$"}]}],"id_ques":1636},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["1"],["30"],["-22"],["15"],["-38"],["21"]]],"list":[{"point":5,"width":50,"ques":"T\u00ednh r\u1ed3i r\u00fat g\u1ecdn n\u1ebfu c\u00f3 th\u1ec3. <br\/> <br\/> <table><tr><th> a <\/th><th>$\\dfrac{7}{10}$<\/th><th>$\\dfrac{-4}{5}$<\/th><th>$\\dfrac{-8}{7}$<\/th><\/tr><tr><td>$a - \\dfrac{2}{3}$<\/td><td><div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">_input_<\/div><\/div><\/td><td><div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">_input_<\/div><\/div><\/td><td><div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">_input_<\/div><\/div><\/td><\/tr><\/table> ","hint":"L\u1ea5y l\u1ea7n l\u01b0\u1ee3t c\u00e1c ph\u00e2n s\u1ed1 \u1edf h\u00e0ng 1 tr\u1eeb ph\u00e2n s\u1ed1 $\\dfrac{2}{3}$ ","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> T\u00ednh $\\dfrac{7}{10} - \\dfrac{2}{3}$ r\u1ed3i \u0111i\u1ec1n k\u1ebft qu\u1ea3 v\u00e0o \u00f4 th\u1ee9 nh\u1ea5t <br\/> T\u00ednh $\\dfrac{-4}{5} - \\dfrac{2}{3}$ r\u1ed3i \u0111i\u1ec1n k\u1ebft qu\u1ea3 v\u00e0o \u00f4 th\u1ee9 hai <br\/> T\u00ednh $\\dfrac{-8}{7} - \\dfrac{2}{3}$ r\u1ed3i \u0111i\u1ec1n k\u1ebft qu\u1ea3 v\u00e0o \u00f4 th\u1ee9 3 <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: <br\/> V\u1edbi $a = \\dfrac{7}{10}$ $\\Rightarrow$ $a - \\dfrac{2}{3} = \\dfrac{7}{10} - \\dfrac{2}{3} = \\dfrac{21}{30} - \\dfrac{20}{30} = \\dfrac{21 - 20}{30} = \\dfrac{1}{30}$ <br\/> <br\/> V\u1edbi $a = \\dfrac{-4}{5}$ $\\Rightarrow$ $a - \\dfrac{2}{3} = \\dfrac{-4}{5} - \\dfrac{2}{3} = \\dfrac{-12}{15} - \\dfrac{10}{15} = \\dfrac{-12 - 10}{15} = \\dfrac{-22}{15} $ <br\/><br\/> V\u1edbi $a = \\dfrac{-8}{7}$ $\\Rightarrow$ $a - \\dfrac{2}{3} = \\dfrac{-8}{7} - \\dfrac{2}{3} = \\dfrac{-24}{21} - \\dfrac{14}{21} = \\dfrac{-24 - 14}{21} = \\dfrac{-38}{21}$"}]}],"id_ques":1637},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["-2"],["3"]]],"list":[{"point":5,"width":50,"type_input":"","input_hint":["frac"],"ques":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng <br\/> <br\/> <div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">_input_<\/div><\/div>- $\\dfrac{-4}{7} = \\dfrac{5}{21} - \\dfrac{1}{3}$","hint":"Mu\u1ed1n t\u00ecm s\u1ed1 b\u1ecb tr\u1eeb ta l\u1ea5y hi\u1ec7u c\u1ed9ng v\u1edbi s\u1ed1 tr\u1eeb ","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> G\u1ecdi s\u1ed1 c\u1ea7n t\u00ecm l\u00e0 x <br\/> T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c \u1edf v\u1ebf ph\u1ea3i <br\/> <b> B\u01b0\u1edbc 2: <\/b> Coi x l\u00e0 s\u1ed1 b\u1ecb tr\u1eeb ch\u01b0a bi\u1ebft, mu\u1ed1n t\u00ecm s\u1ed1 b\u1ecb tr\u1eeb ta l\u1ea5y hi\u1ec7u c\u1ed9ng v\u1edbi s\u1ed1 tr\u1eeb <br\/> <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> G\u1ecdi s\u1ed1 c\u1ea7n t\u00ecm l\u00e0 x, ta c\u00f3: <br\/> $\\begin{align*} x - \\dfrac{-4}{7} &= \\dfrac{5}{21} - \\dfrac{1}{3} \\\\ x - \\dfrac{-4}{7} &= \\dfrac{5}{21} - \\dfrac{7}{21} \\\\ x - \\dfrac{-4}{7} &= \\dfrac{5 - 7}{21} \\\\ x - \\dfrac{-4}{7} &= \\dfrac{-2}{21} \\\\ x &= \\dfrac{-2}{21} + \\dfrac{-4}{7} \\\\ x &= \\dfrac{-2}{21} + \\dfrac{-12}{21} \\\\ x &= \\dfrac{-14}{21} \\\\ x &= \\dfrac{-2}{3} \\end{align*}$"}]}],"id_ques":1638},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["-1"],["24"]]],"list":[{"point":5,"width":50,"type_input":"","input_hint":["frac"],"ques":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng <br\/> <br\/> <div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">_input_<\/div><\/div> $- \\dfrac{3}{-8} = \\dfrac{-5}{12} + \\dfrac{3}{4}$","hint":"Mu\u1ed1n t\u00ecm s\u1ed1 b\u1ecb tr\u1eeb ta l\u1ea5y hi\u1ec7u c\u1ed9ng v\u1edbi s\u1ed1 tr\u1eeb ","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> G\u1ecdi s\u1ed1 c\u1ea7n t\u00ecm l\u00e0 x <br\/> T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c \u1edf v\u1ebf ph\u1ea3i <br\/> <b> B\u01b0\u1edbc 2: <\/b> Coi x l\u00e0 s\u1ed1 b\u1ecb tr\u1eeb ch\u01b0a bi\u1ebft, mu\u1ed1n t\u00ecm s\u1ed1 b\u1ecb tr\u1eeb ta l\u1ea5y hi\u1ec7u c\u1ed9ng v\u1edbi s\u1ed1 tr\u1eeb <br\/> <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> G\u1ecdi s\u1ed1 c\u1ea7n t\u00ecm l\u00e0 x, ta c\u00f3: <br\/> $\\begin{align*} x - \\dfrac{3}{-8} &= \\dfrac{-5}{12} + \\dfrac{3}{4} \\\\ x - \\dfrac{-3}{8} &= \\dfrac{-5}{12} + \\dfrac{9}{12} \\\\ x - \\dfrac{-3}{8} &= \\dfrac{-5 + 9}{12} \\\\ x - \\dfrac{-3}{8} &= \\dfrac{4}{12} \\\\ x &= \\dfrac{1}{3} + \\dfrac{-3}{8} \\\\ x &= \\dfrac{8}{24} + \\dfrac{-9}{24} \\\\ x &= \\dfrac{8 + (-9)}{24} \\\\ x &= \\dfrac{-1}{24} \\end{align*}$"}]}],"id_ques":1639},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["85"],["48"]]],"list":[{"point":5,"width":50,"type_input":"","input_hint":["frac"],"ques":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng <br\/> <br\/> $\\dfrac{-5}{16} + \\dfrac{-4}{3}$ + <div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">_input_<\/div><\/div> = $\\dfrac{1}{8}$","hint":"Mu\u1ed1n t\u00ecm s\u1ed1 h\u1ea1ng ch\u01b0a bi\u1ebft ta l\u1ea5y t\u1ed5ng tr\u1eeb \u0111i s\u1ed1 h\u1ea1ng \u0111\u00e3 bi\u1ebft ","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> G\u1ecdi s\u1ed1 c\u1ea7n t\u00ecm l\u00e0 x <br\/> T\u00ednh $\\dfrac{-5}{16} + \\dfrac{-4}{3}$ <br\/> <b> B\u01b0\u1edbc 2: <\/b> Coi x l\u00e0 s\u1ed1 h\u1ea1ng ch\u01b0a bi\u1ebft, mu\u1ed1n t\u00ecm s\u1ed1 h\u1ea1ng ch\u01b0a bi\u1ebft ta l\u1ea5y t\u1ed5ng tr\u1eeb \u0111i s\u1ed1 h\u1ea1ng \u0111\u00e3 bi\u1ebft <br\/> <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> G\u1ecdi s\u1ed1 c\u1ea7n t\u00ecm l\u00e0 x, ta c\u00f3: <br\/> $\\begin{align*} \\dfrac{-5}{16} + \\dfrac{-4}{3} + x &= \\dfrac{1}{8} \\\\ \\dfrac{-15}{48} + \\dfrac{-64}{48} + x &= \\dfrac{1}{8} \\\\ \\dfrac{-15 + (-64)}{48} + x &= \\dfrac{1}{8} \\\\ \\dfrac{-79}{48} + x &= \\dfrac{1}{8} \\\\ x &= \\dfrac{1}{8} - \\dfrac{-79}{48} \\\\ x &= \\dfrac{6}{48} - \\dfrac{-79}{48} \\\\ x &= \\dfrac{6 - (-79)}{48} \\\\ x &= \\dfrac{85}{48} \\end{align*}$"}]}],"id_ques":1640}],"lesson":{"save":0,"level":2}}