{"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":"K\u1ebft qu\u1ea3 c\u1ee7a ph\u00e9p t\u00ednh: $\\dfrac{1}{2} - \\dfrac{1}{5}$ l\u00e0: ","select":["A. $\\dfrac{1}{3}$ ","B. $\\dfrac{0}{3}$","C. $\\dfrac{3}{10}$","D. $\\dfrac{3}{3}$ "],"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 m\u1eabu s\u1ed1 hai ph\u00e2n s\u1ed1 $\\dfrac{1}{2}$ v\u00e0 $\\dfrac{1}{5}$ <br\/> <b> B\u01b0\u1edbc 3: <\/b> Th\u1ef1c hi\u1ec7n tr\u1eeb hai ph\u00e2n s\u1ed1 c\u00f9ng m\u1eabu ta tr\u1eeb t\u1eed s\u1ed1 c\u1ee7a ph\u00e2n s\u1ed1 th\u1ee9 nh\u1ea5t cho t\u1eed s\u1ed1 c\u1ee7a ph\u00e2n s\u1ed1 th\u1ee9 2, gi\u1eef nguy\u00ean m\u1eabu s\u1ed1 <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\begin{align*} \\dfrac{1}{2} - \\dfrac{1}{5} &= \\dfrac{1 . 5}{2 . 5} - \\dfrac{1 . 2}{5 . 2} \\\\ &= \\dfrac{5}{10} - \\dfrac{2}{10} \\\\ &= \\dfrac{5 - 2}{10} \\\\ &= \\dfrac{3}{10} \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C <\/span> ","column":4}]}],"id_ques":1601},{"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":"K\u1ebft qu\u1ea3 c\u1ee7a ph\u00e9p t\u00ednh: $\\dfrac{3}{8} - \\dfrac{1}{2}$ l\u00e0: ","select":["A. $\\dfrac{2}{6}$ ","B. $\\dfrac{-1}{8}$","C. $\\dfrac{2}{8}$","D. $\\dfrac{1}{8}$ "],"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 m\u1eabu s\u1ed1 ph\u00e2n s\u1ed1 $\\dfrac{1}{2}$ v\u1edbi m\u1eabu s\u1ed1 l\u00e0 8 <br\/> <b> B\u01b0\u1edbc 3: <\/b> Th\u1ef1c hi\u1ec7n tr\u1eeb hai ph\u00e2n s\u1ed1 c\u00f9ng m\u1eabu ta tr\u1eeb t\u1eed s\u1ed1 c\u1ee7a ph\u00e2n s\u1ed1 th\u1ee9 nh\u1ea5t cho t\u1eed s\u1ed1 c\u1ee7a ph\u00e2n s\u1ed1 th\u1ee9 2, gi\u1eef nguy\u00ean m\u1eabu s\u1ed1 <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\begin{align*} \\dfrac{3}{8} - \\dfrac{1}{2} &= \\dfrac{3}{8} - \\dfrac{1 . 4}{2 . 4} \\\\ &= \\dfrac{3}{8} - \\dfrac{4}{8} \\\\ &= \\dfrac{3 - 4}{8} \\\\ &= \\dfrac{-1}{8} \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: B <\/span> ","column":4}]}],"id_ques":1602},{"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":"K\u1ebft qu\u1ea3 c\u1ee7a ph\u00e9p t\u00ednh: $\\dfrac{-5}{7} + \\dfrac{3}{5}$ l\u00e0: ","select":["A. $\\dfrac{-4}{35}$ ","B. $\\dfrac{4}{35}$","C. $\\dfrac{46}{35}$","D. $\\dfrac{-46}{35}$ "],"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 m\u1eabu s\u1ed1 c\u00e1c ph\u00e2n s\u1ed1 $\\dfrac{-5}{7}$ v\u00e0 $\\dfrac{3}{5}$ v\u1edbi m\u1eabu s\u1ed1 chung l\u00e0 35 <br\/> <b> B\u01b0\u1edbc 3: <\/b> Th\u1ef1c hi\u1ec7n c\u1ed9ng hai ph\u00e2n s\u1ed1 c\u00f9ng m\u1eabu <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\begin{align*} \\dfrac{-5}{7} + \\dfrac{3}{5} &= \\dfrac{-5 . 5}{7 . 5} + \\dfrac{3 . 7}{5 . 7} \\\\ &= \\dfrac{-25}{35} + \\dfrac{21}{35} \\\\ &= \\dfrac{-25 + 21}{35} \\\\ &= \\dfrac{-4}{35} \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: A <\/span> ","column":4}]}],"id_ques":1603},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["5"],["6"]]],"list":[{"point":5,"width":50,"type_input":"","ques":"S\u1ed1 \u0111\u1ed1i c\u1ee7a $\\dfrac{-5}{6}$ l\u00e0 <div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">_input_<\/div><\/div> ","hint":"S\u1ed1 \u0111\u1ed1i c\u1ee7a $\\dfrac{a}{b}$ l\u00e0 $\\dfrac{-a}{b}$","explain":"<span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> S\u1ed1 \u0111\u1ed1i c\u1ee7a $\\dfrac{-5}{6}$ l\u00e0 $ - \\left( \\dfrac{-5}{6} \\right) = \\dfrac{5}{6}$ <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 \u0111\u1ed1i c\u1ee7a $\\dfrac{-5}{6}$ l\u00e0: $\\dfrac{5}{6}$ <\/span> "}]}],"id_ques":1604},{"time":24,"part":[{"title":"","title_trans":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","temp":"fill_the_blank","correct":[[["-3"],["4"]]],"list":[{"point":5,"width":50,"type_input":"","ques":"S\u1ed1 \u0111\u1ed1i c\u1ee7a $ - \\left( \\dfrac{-3}{4} \\right) $ l\u00e0 <div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">_input_<\/div><\/div>","hint":"S\u1ed1 \u0111\u1ed1i c\u1ee7a $\\dfrac{a}{b}$ l\u00e0 $\\dfrac{-a}{b}$","explain":"<span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> S\u1ed1 \u0111\u1ed1i c\u1ee7a $ - \\left( \\dfrac{-3}{4} \\right)$ l\u00e0: $ - \\left[ - \\left( \\dfrac{-3}{4} \\right) \\right] = - \\left[ \\dfrac{3}{4} \\right] = -\\dfrac{3}{4} = \\dfrac{-3}{4}$ <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 \u0111\u1ed1i c\u1ee7a $ - \\left( \\dfrac{-3}{4} \\right) $ l\u00e0: $\\dfrac{-3}{4}$ <\/span> "}]}],"id_ques":1605},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["-4"],["7"]]],"list":[{"point":5,"width":50,"type_input":"","ques":"H\u00e3y \u0111i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o \u00f4 tr\u1ed1ng <br\/> $\\dfrac{3}{7}$ + <div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">_input_<\/div><\/div> = $\\dfrac{-1}{7}$ ","hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> G\u1ecdi ph\u00e2n s\u1ed1 c\u1ea7n t\u00ecm l\u00e0 a ta c\u00f3: <br\/> a 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 <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> G\u1ecdi ph\u00e2n s\u1ed1 c\u1ea7n t\u00ecm l\u00e0 a: <br\/> $\\begin{align*} \\dfrac{3}{7} + a &= \\dfrac{-1}{7} \\\\ a &= \\dfrac{-1}{7} - \\dfrac{3}{7} \\\\ a &= \\dfrac{-1 - 3}{7} \\\\ a &= \\dfrac{-4}{7} \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady c\u00e1c s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: -4; 7 <\/span> "}]}],"id_ques":1606},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["-8"],["11"]]],"list":[{"point":5,"width":50,"type_input":"","ques":"H\u00e3y \u0111i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o \u00f4 tr\u1ed1ng <br\/> $\\dfrac{5}{11}$ + <div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">_input_<\/div><\/div> = $\\dfrac{-3}{11}$ ","hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> G\u1ecdi ph\u00e2n s\u1ed1 c\u1ea7n t\u00ecm l\u00e0 a ta c\u00f3: <br\/> a 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 <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> G\u1ecdi ph\u00e2n s\u1ed1 c\u1ea7n t\u00ecm l\u00e0 a: <br\/> $\\begin{align*} \\dfrac{5}{11} + a &= \\dfrac{-3}{11} \\\\ a &= \\dfrac{-3}{11} - \\dfrac{5}{11} \\\\ a &= \\dfrac{-3 - 5}{11} \\\\ a &= \\dfrac{-8}{11} \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady c\u00e1c s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: -8; 11 <\/span> "}]}],"id_ques":1607},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["-2"],["9"]]],"list":[{"point":5,"width":50,"type_input":"","ques":"H\u00e3y \u0111i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o \u00f4 tr\u1ed1ng <br\/> $\\dfrac{4}{9}$ - <div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">_input_<\/div><\/div> = $\\dfrac{2}{3}$ ","hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> G\u1ecdi ph\u00e2n s\u1ed1 c\u1ea7n t\u00ecm l\u00e0 a ta c\u00f3: <br\/> a l\u00e0 s\u1ed1 tr\u1eeb ch\u01b0a bi\u1ebft, mu\u1ed1n t\u00ecm s\u1ed1 tr\u1eeb ch\u01b0a bi\u1ebft ta l\u1ea5y s\u1ed1 b\u1ecb tr\u1eeb tr\u1eeb \u0111i hi\u1ec7u <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> G\u1ecdi ph\u00e2n s\u1ed1 c\u1ea7n t\u00ecm l\u00e0 a: <br\/> $\\begin{align*} \\dfrac{4}{9} - a &= \\dfrac{2}{3} \\\\ a &= \\dfrac{4}{9} - \\dfrac{2}{3} \\\\ a &= \\dfrac{4}{9} - \\dfrac{2 . 3}{3 . 3} \\\\ a &= \\dfrac{4}{9} - \\dfrac{6}{9} \\\\ a &= \\dfrac{4 - 6}{9} \\\\ a &= \\dfrac{-2}{9} \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady c\u00e1c s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: -2; 9 <\/span> "}]}],"id_ques":1608},{"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 $x + \\dfrac{1}{2} = \\dfrac{-2}{5}$ l\u00e0: ","select":["A. $x = \\dfrac{-9}{10}$ ","B. $x = \\dfrac{9}{10}$","C. $x = \\dfrac{-1}{10}$","D. $x = \\dfrac{1}{10}$ "],"hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> x l\u00e0 s\u1ed1 h\u1ea1ng ch\u01b0a bi\u1ebft, mu\u1ed1n t\u00ecm s\u1ed1 h\u1ea1ng ch\u01b0a bi\u1ebft l\u1ea5y t\u1ed5ng tr\u1eeb \u0111i s\u1ed1 h\u1ea1ng \u0111\u00e3 bi\u1ebft <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\begin{align*} x + \\dfrac{1}{2} &= \\dfrac{-2}{5} \\\\ x &= \\dfrac{-2}{5} - \\dfrac{1}{2} \\\\ x &= \\dfrac{-2 . 2}{5 . 2} - \\dfrac{1 . 5}{2 . 5} \\\\ x &= \\dfrac{-4}{10} - \\dfrac{5}{10} \\\\ x &= \\dfrac{-4 - 5}{10} \\\\ x &= \\dfrac{-9}{10} \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: A <\/span> ","column":4}]}],"id_ques":1609},{"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":"T\u00ecm x bi\u1ebft $x + \\dfrac{4}{7} = \\dfrac{-3}{4}$ l\u00e0: ","select":["A. $x = \\dfrac{-5}{28}$ ","B. $x = \\dfrac{5}{28}$","C. $x = \\dfrac{-37}{28}$","D. $x = \\dfrac{37}{28}$ "],"hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> x l\u00e0 s\u1ed1 h\u1ea1ng ch\u01b0a bi\u1ebft, mu\u1ed1n t\u00ecm s\u1ed1 h\u1ea1ng ch\u01b0a bi\u1ebft l\u1ea5y t\u1ed5ng tr\u1eeb \u0111i s\u1ed1 h\u1ea1ng \u0111\u00e3 bi\u1ebft <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\begin{align*} x + \\dfrac{4}{7} &= \\dfrac{-3}{4} \\\\ x &= \\dfrac{-3}{4} - \\dfrac{4}{7} \\\\ x &= \\dfrac{-3 . 7}{4 . 7} - \\dfrac{4 . 4}{7 . 4} \\\\ x &= \\dfrac{-21}{28} - \\dfrac{16}{28} \\\\ x &= \\dfrac{-21 - 16}{28} \\\\ x &= \\dfrac{-37}{28} \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C <\/span> ","column":4}]}],"id_ques":1610},{"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 $x - \\dfrac{-2}{7} = \\dfrac{3}{4}$ l\u00e0: ","select":["A. $x = \\dfrac{13}{28}$ ","B. $x = \\dfrac{-13}{28}$","C. $x = \\dfrac{29}{28}$","D. $x = \\dfrac{-29}{28}$ "],"hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> x l\u00e0 s\u1ed1 b\u1ecb tr\u1eeb ch\u01b0a bi\u1ebft, mu\u1ed1n t\u00ecm s\u1ed1 b\u1ecb tr\u1eeb ch\u01b0a bi\u1ebft l\u1ea5y hi\u1ec7u c\u1ed9ng v\u1edbi s\u1ed1 tr\u1eeb <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> $\\begin{align*} x - \\dfrac{-2}{7} &= \\dfrac{3}{4} \\\\ x &= \\dfrac{3}{4} + \\dfrac{-2}{7} \\\\ x &= \\dfrac{3 . 7}{4 . 7} + \\dfrac{-2 . 4}{7 . 4} \\\\ x &= \\dfrac{21}{28} + \\dfrac{-8}{28} \\\\ x &= \\dfrac{21 + (-8)}{28} \\\\ x &= \\dfrac{13}{28} \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: A <\/span> ","column":4}]}],"id_ques":1611},{"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\u1ed5ng c\u1ee7a hai ph\u00e2n s\u1ed1 l\u00e0 m\u1ed9t ph\u00e2n s\u1ed1 c\u00f3 t\u1eed s\u1ed1 b\u1eb1ng t\u1ed5ng c\u00e1c t\u1eed, m\u1eabu s\u1ed1 b\u1eb1ng t\u1ed5ng c\u00e1c m\u1eabu <b> \u0110\u00daNG <\/b> hay <b> SAI <\/b>? ","select":["A. \u0110\u00daNG ","B. SAI"],"hint":"","explain":"<span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> N\u1ebfu hai ph\u00e2n s\u1ed1 c\u00f3 c\u00f9ng m\u1eabu th\u00ec t\u1ed5ng hai ph\u00e2n s\u1ed1 l\u00e0 m\u1ed9t ph\u00e2n s\u1ed1 c\u00f3 t\u1eed s\u1ed1 b\u1eb1ng t\u1ed5ng c\u00e1c t\u1eed, gi\u1eef nguy\u00ean m\u1eabu s\u1ed1 <br\/> N\u1ebfu hai ph\u00e2n s\u1ed1 kh\u00f4ng c\u00f9ng m\u1eabu ta ph\u1ea3i quy \u0111\u1ed3ng m\u1eabu c\u00e1c ph\u00e2n s\u1ed1 r\u1ed3i th\u1ef1c hi\u1ec7n nh\u01b0 tr\u00ean <br\/> V\u1eady kh\u1eb3ng \u0111\u1ecbnh: \"T\u1ed5ng c\u1ee7a hai ph\u00e2n s\u1ed1 l\u00e0 m\u1ed9t ph\u00e2n s\u1ed1 c\u00f3 t\u1eed s\u1ed1 b\u1eb1ng t\u1ed5ng c\u00e1c t\u1eed, m\u1eabu s\u1ed1 b\u1eb1ng t\u1ed5ng c\u00e1c m\u1eabu\" l\u00e0 <span class='basic_pink'> SAI <\/span> ","column":2}]}],"id_ques":1612},{"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\u1ed5ng c\u1ee7a hai ph\u00e2n s\u1ed1 c\u00f9ng m\u1eabu l\u00e0 m\u1ed9t ph\u00e2n s\u1ed1 c\u00f3 c\u00f9ng m\u1eabu \u0111\u00f3 v\u00e0 c\u00f3 t\u1eed s\u1ed1 b\u1eb1ng t\u1ed5ng c\u00e1c t\u1eed. <b> \u0110\u00daNG <\/b> hay <b> SAI <\/b>? ","select":["A. \u0110\u00daNG ","B. SAI"],"hint":"","explain":"<span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> Khi c\u1ed9ng hai ph\u00e2n s\u1ed1 c\u00f9ng m\u1eabu ta c\u1ed9ng c\u00e1c t\u1eed s\u1ed1 v\u1edbi nhau, gi\u1eef nguy\u00ean m\u1eabu s\u1ed1 <br\/> N\u00ean kh\u1eb3ng \u0111\u1ecbnh: \"T\u1ed5ng c\u1ee7a hai ph\u00e2n s\u1ed1 c\u00f9ng m\u1eabu l\u00e0 m\u1ed9t ph\u00e2n s\u1ed1 c\u00f3 c\u00f9ng m\u1eabu \u0111\u00f3 v\u00e0 c\u00f3 t\u1eed s\u1ed1 b\u1eb1ng t\u1ed5ng c\u00e1c t\u1eed\" l\u00e0 <span class='basic_pink'> \u0110\u00daNG <\/span> ","column":2}]}],"id_ques":1613},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["28"]]],"list":[{"point":5,"width":50,"type_input":"","ques":"H\u00e3y \u0111i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o \u00f4 tr\u1ed1ng <br\/><br\/> $\\dfrac{3}{4}$ -<div class=\"frac123\"><div class=\"ts\">13<\/div><div class=\"ms\">_input_<\/div><\/div> = $ \\dfrac{2}{7}$ ","hint":"Quy \u0111\u1ed3ng r\u1ed3i bi\u1ebfn \u0111\u1ed5i \u0111\u1ec3 t\u00ecm s\u1ed1 ch\u01b0a 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 a <br\/> Chuy\u1ec3n c\u00e1c ph\u00e2n s\u1ed1 kh\u00f4ng ch\u1ee9a a sang v\u1ebf ph\u1ea3i <br\/> <b> B\u01b0\u1edbc 2: <\/b> T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c \u1edf v\u1ebf ph\u1ea3i <br\/> <b> B\u01b0\u1edbc 3: <\/b> Bi\u1ebfn \u0111\u1ed5i \u0111\u1eb3ng th\u1ee9c v\u1ec1 d\u1ea1ng $\\dfrac{13}{a} = \\dfrac{13}{b}$ khi \u0111\u00f3 v\u00ec 13 = 13 n\u00ean a = b <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> G\u1ecdi s\u1ed1 c\u1ea7n t\u00ecm l\u00e0 a: <br\/> $\\begin{align*} \\dfrac{3}{4} - \\dfrac{13}{a} &= \\dfrac{2}{7} \\\\ \\dfrac{13}{a} &= \\dfrac{3}{4} - \\dfrac{2}{7} \\\\ \\dfrac{13}{a} &= \\dfrac{3 . 7}{4 . 7} - \\dfrac{2 . 4}{7 . 4} \\\\ \\dfrac{13}{a} &= \\dfrac{21}{28} - \\dfrac{8}{28} \\\\ \\dfrac{13}{a} &= \\dfrac{21 - 8}{28} \\\\ \\dfrac{13}{a} &= \\dfrac{13}{28} \\end{align*}$ <br\/> $\\Rightarrow$ a = 28 <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 28 <\/span> <br\/> <span class='basic_green'> <i> Nh\u1eadn x\u00e9t: Ph\u00e2n s\u1ed1 $\\dfrac{a}{b} = \\dfrac{c}{b}$ khi v\u00e0 ch\u1ec9 khi a = c <br\/> Ph\u00e2n s\u1ed1 $\\dfrac{a}{b} = \\dfrac{a}{c}$ khi v\u00e0 ch\u1ec9 khi b = c <\/i><\/span> "}]}],"id_ques":1614},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["-13"]]],"list":[{"point":5,"width":50,"type_input":"","ques":"H\u00e3y \u0111i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o \u00f4 tr\u1ed1ng <br\/><br\/> $\\dfrac{-4}{5}$ - <div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">10<\/div><\/div> = $\\dfrac{1}{2}$ ","hint":"Quy \u0111\u1ed3ng r\u1ed3i bi\u1ebfn \u0111\u1ed5i \u0111\u1ec3 t\u00ecm s\u1ed1 ch\u01b0a 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 a <br\/> Chuy\u1ec3n c\u00e1c ph\u00e2n s\u1ed1 kh\u00f4ng ch\u1ee9a a sang v\u1ebf ph\u1ea3i <br\/> <b> B\u01b0\u1edbc 2: <\/b> T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c \u1edf v\u1ebf ph\u1ea3i <br\/> <b> B\u01b0\u1edbc 3: <\/b> Bi\u1ebfn \u0111\u1ed5i \u0111\u1eb3ng th\u1ee9c v\u1ec1 d\u1ea1ng $\\dfrac{a}{10} = \\dfrac{b}{10}$ khi \u0111\u00f3 v\u00ec 10 = 10 n\u00ean a = b <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> G\u1ecdi s\u1ed1 c\u1ea7n t\u00ecm l\u00e0 a: <br\/> $\\begin{align*} \\dfrac{-4}{5} - \\dfrac{a}{10} &= \\dfrac{1}{2} \\\\ \\dfrac{a}{10} &= \\dfrac{-4}{5} - \\dfrac{1}{2} \\\\ \\dfrac{a}{10} &= \\dfrac{-4 . 2}{5 . 2} - \\dfrac{1 . 5}{2 . 5} \\\\ \\dfrac{a}{10} &= \\dfrac{-8}{10} - \\dfrac{5}{10} \\\\ \\dfrac{a}{10} &= \\dfrac{-8 - 5}{10} \\\\ \\dfrac{a}{10} &= \\dfrac{-13}{10} \\end{align*}$ <br\/> $\\Rightarrow$ a = -13 <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: -13 <\/span> "}]}],"id_ques":1615},{"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":"","ques":"H\u00e3y \u0111i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o \u00f4 tr\u1ed1ng <br\/><br\/> $\\dfrac{11}{15}$ - <div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">30<\/div><\/div> = $\\dfrac{3}{5}$ ","hint":"Quy \u0111\u1ed3ng r\u1ed3i bi\u1ebfn \u0111\u1ed5i \u0111\u1ec3 t\u00ecm s\u1ed1 ch\u01b0a 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 a <br\/> Chuy\u1ec3n c\u00e1c ph\u00e2n s\u1ed1 kh\u00f4ng ch\u1ee9a a sang v\u1ebf ph\u1ea3i <br\/> <b> B\u01b0\u1edbc 2: <\/b> T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c \u1edf v\u1ebf ph\u1ea3i <br\/> <b> B\u01b0\u1edbc 3: <\/b> Bi\u1ebfn \u0111\u1ed5i \u0111\u1eb3ng th\u1ee9c v\u1ec1 d\u1ea1ng $\\dfrac{a}{30} = \\dfrac{b}{30}$ khi \u0111\u00f3 v\u00ec 30 = 30 n\u00ean a = b <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> G\u1ecdi s\u1ed1 c\u1ea7n t\u00ecm l\u00e0 a: <br\/> $\\begin{align*} \\dfrac{11}{15} - \\dfrac{a}{30} &= \\dfrac{3}{5} \\\\ \\dfrac{a}{30} &= \\dfrac{11}{15} - \\dfrac{3}{5} \\\\ \\dfrac{a}{30} &= \\dfrac{11}{15} - \\dfrac{3 . 3}{5 . 3} \\\\ \\dfrac{a}{30} &= \\dfrac{11}{15} - \\dfrac{9}{15} \\\\ \\dfrac{a}{30} &= \\dfrac{2}{15} \\\\ \\dfrac{a}{30} &= \\dfrac{4}{30} \\end{align*}$ <br\/> $\\Rightarrow$ a = 4 <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 4 <\/span> "}]}],"id_ques":1616},{"time":24,"part":[{"title":"Ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":5,"select":["A. $\\dfrac{3}{4}$","B. $\\dfrac{2}{3}$","C. $1$"],"ques":"T\u00ednh b\u1eb1ng c\u00e1ch h\u1ee3p l\u00fd <br\/> <br\/> $\\dfrac{7}{15} - \\left( \\dfrac{2}{15} - \\dfrac{12}{18} \\right) = $ ?","hint":"Ph\u00e1 ngo\u1eb7c r\u1ed3i s\u1eed d\u1ee5ng t\u00ednh ch\u1ea5t k\u1ebft h\u1ee3p","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> Ph\u00e1 ngo\u1eb7c <br\/> L\u01b0u \u00fd v\u00ec \u0111\u1eb1ng tr\u01b0\u1edbc d\u1ea5u ngo\u1eb7c l\u00e0 d\u1ea5u tr\u1eeb n\u00ean khi b\u1ecf ngo\u1eb7c ta ph\u1ea3i \u0111\u1ed5i d\u1ea5u ph\u00e9p t\u00ednh trong ngo\u1eb7c <br\/> <b> B\u01b0\u1edbc 2: <\/b> Nh\u00f3m hai ph\u00e2n s\u1ed1 c\u00f9ng m\u1eabu <br\/> <b> B\u01b0\u1edbc 3: <\/b> Tr\u1eeb hai ph\u00e2n s\u1ed1 c\u00f9ng m\u1eabu <br\/> <b> B\u01b0\u1edbc 4: <\/b> Quy \u0111\u1ed3ng v\u00e0 t\u00ecm k\u1ebft qu\u1ea3 cu\u1ed1i c\u00f9ng <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> G\u1ecdi s\u1ed1 c\u1ea7n t\u00ecm l\u00e0 a: <br\/> $\\begin{align*} & \\dfrac{7}{15} - \\left( \\dfrac{2}{15} - \\dfrac{12}{18} \\right) \\\\ & =\\dfrac{7}{15} - \\dfrac{2}{15} + \\dfrac{12}{18} \\\\ & = \\left( \\dfrac{7}{15} - \\dfrac{2}{15} \\right) + \\dfrac{12 : 6}{18 : 6} \\\\ & = \\dfrac{7 - 2}{15} + \\dfrac{2}{3} \\\\ & = \\dfrac{5}{15} + \\dfrac{2 . 5}{3 . 5} \\\\ & = \\dfrac{5}{15} + \\dfrac{10}{15} \\\\ &= \\dfrac{5 + 10}{15} \\\\ &= \\dfrac{15}{15} = 1 \\end{align*}$"}]}],"id_ques":1617},{"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":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng <br\/> <br\/> $\\dfrac{3}{4} + \\left( -\\dfrac{3}{4} \\right) = $ _input_ ","hint":"Hai s\u1ed1 \u0111\u1ed1i nhau c\u00f3 t\u1ed5ng b\u1eb1ng 0","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> V\u00ec $-\\dfrac{3}{4}$ l\u00e0 s\u1ed1 \u0111\u1ed1i c\u1ee7a ph\u00e2n s\u1ed1 $\\dfrac{3}{4}$ <br\/> M\u00e0 hai s\u1ed1 \u0111\u1ed1i nhau c\u00f3 t\u1ed5ng b\u1eb1ng 0 n\u00ean: <br\/> $\\dfrac{3}{4} + \\left( -\\dfrac{3}{4} \\right) = 0$ <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 0 <\/span> <br\/> <span class='basic_green'> <i> Nh\u1eadn x\u00e9t: Ph\u00e2n s\u1ed1 $-\\dfrac{a}{b}$ l\u00e0 s\u1ed1 \u0111\u1ed1i c\u1ee7a $\\dfrac{a}{b}$ <br\/> T\u1ed5ng c\u1ee7a hai s\u1ed1 \u0111\u1ed1i nhau b\u1eb1ng 0 "}]}],"id_ques":1618},{"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":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng <br\/> <br\/> $\\dfrac{-1947}{9945} + \\dfrac{1947}{9945} = $ _input_ ","hint":"Hai s\u1ed1 \u0111\u1ed1i nhau c\u00f3 t\u1ed5ng b\u1eb1ng 0","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> V\u00ec $\\dfrac{-1947}{9945}$ l\u00e0 s\u1ed1 \u0111\u1ed1i c\u1ee7a ph\u00e2n s\u1ed1 $\\dfrac{1947}{9945}$ <br\/> Hai s\u1ed1 \u0111\u1ed1i nhau c\u00f3 t\u1ed5ng b\u1eb1ng 0 n\u00ean: <br\/> $\\dfrac{-1947}{9945} + \\dfrac{1947}{9945} = 0$ <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 0 <\/span> <br\/> <span class='basic_green'> <i> Nh\u1eadn x\u00e9t: Ph\u00e2n s\u1ed1 $\\dfrac{-a}{b}$ l\u00e0 s\u1ed1 \u0111\u1ed1i c\u1ee7a $\\dfrac{a}{b}$ <br\/> T\u1ed5ng c\u1ee7a hai s\u1ed1 \u0111\u1ed1i nhau b\u1eb1ng 0 <br\/> $\\dfrac{a}{b} + \\dfrac{-a}{b} = 0$ <\/i><\/span> "}]}],"id_ques":1619},{"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":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng <br\/> <br\/> $-\\dfrac{-7}{10} + \\dfrac{-7}{10} = $ _input_ ","hint":"Hai s\u1ed1 \u0111\u1ed1i nhau c\u00f3 t\u1ed5ng b\u1eb1ng 0","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> V\u00ec $-\\dfrac{-7}{10}$ l\u00e0 s\u1ed1 \u0111\u1ed1i c\u1ee7a ph\u00e2n s\u1ed1 $\\dfrac{-7}{10}$ <br\/> M\u00e0 hai s\u1ed1 \u0111\u1ed1i nhau c\u00f3 t\u1ed5ng b\u1eb1ng 0 n\u00ean: <br\/> $-\\dfrac{-7}{10} + \\dfrac{-7}{10} = 0$ <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 0 <\/span> "}]}],"id_ques":1620}],"lesson":{"save":0,"level":1}}