sap xep cac phan so sau theo thu tu tu be den lon, quy dong cac so; 4/11, 3/7, 9/8 b] 5/8, 13/11, 19/24, 27/ 22 10/08/2021 Bởi Kinsley sap xep cac phan so sau theo thu tu tu be den lon, quy dong cac so; 4/11, 3/7, 9/8 b] 5/8, 13/11, 19/24, 27/ 22
\(\begin{array}{l}\frac{4}{{11}} = \frac{{28}}{{77}} < 1\\\,\frac{3}{7} = \frac{{33}}{{77}} < 1\\\frac{9}{8} > 1\\ \Rightarrow \frac{4}{{11}} < \frac{3}{7} < \frac{9}{8}\end{array}\) \(\begin{array}{l}b)\,\\ + )\,\left\{ \begin{array}{l}\frac{5}{8} = \frac{{15}}{{24}}\\\frac{{19}}{{24}}\end{array} \right.\\ + )\,\left\{ \begin{array}{l}\frac{{13}}{{11}} = \frac{{26}}{{22}}\\\frac{{17}}{{22}}\end{array} \right. \Rightarrow \,\frac{{17}}{{22}} < \frac{{13}}{{11}}\,\,\,\,\left( 1 \right)\\ \Rightarrow \frac{{15}}{{24}} < \frac{{19}}{{24}}\,\,\,hay\,\,\,\,\frac{5}{8} < \frac{{19}}{{24}}\,\,\,\left( 2 \right)\\so\,sanh\,\,\frac{{17}}{{22}}\,\,\,va\,\,\,\frac{5}{8}\\\frac{5}{8} = \frac{{110}}{{176}}\\\frac{{17}}{{22}} = \frac{{136}}{{176}}\\ \Rightarrow \frac{5}{8} < \frac{{17}}{{22}}\,\,\,\,\left( 3 \right)\\so\,\,sanh:\,\,\frac{{19}}{{24}}\,\,va\,\,\frac{{17}}{{22}}\\\left\{ \begin{array}{l}1 – \frac{{19}}{{24}} = \frac{5}{{24}}\\1 – \frac{{17}}{{22}} = \frac{5}{{22}}\end{array} \right. \Rightarrow \frac{5}{{24}} < \frac{5}{{22}}hay\,\,\frac{{19}}{{24}} > \frac{{17}}{{22}}\,\,\,\,\left( 4 \right)\\tu\,\,\left( 1 \right);\,\,\,\left( 2 \right);\,\left( 3 \right);\,\,\left( 4 \right)\\ \Rightarrow \frac{5}{8} < \frac{{17}}{{22}} < \frac{{19}}{{24}} < \frac{{13}}{{11}}\end{array}\) Bình luận
Đáp án:a,3/7,9/8,4/11,b,5/8,13/11,19/24,27/22
Giải thích các bước giải:
\(\begin{array}{l}\frac{4}{{11}} = \frac{{28}}{{77}} < 1\\\,\frac{3}{7} = \frac{{33}}{{77}} < 1\\\frac{9}{8} > 1\\ \Rightarrow \frac{4}{{11}} < \frac{3}{7} < \frac{9}{8}\end{array}\)
\(\begin{array}{l}b)\,\\ + )\,\left\{ \begin{array}{l}\frac{5}{8} = \frac{{15}}{{24}}\\\frac{{19}}{{24}}\end{array} \right.\\ + )\,\left\{ \begin{array}{l}\frac{{13}}{{11}} = \frac{{26}}{{22}}\\\frac{{17}}{{22}}\end{array} \right. \Rightarrow \,\frac{{17}}{{22}} < \frac{{13}}{{11}}\,\,\,\,\left( 1 \right)\\ \Rightarrow \frac{{15}}{{24}} < \frac{{19}}{{24}}\,\,\,hay\,\,\,\,\frac{5}{8} < \frac{{19}}{{24}}\,\,\,\left( 2 \right)\\so\,sanh\,\,\frac{{17}}{{22}}\,\,\,va\,\,\,\frac{5}{8}\\\frac{5}{8} = \frac{{110}}{{176}}\\\frac{{17}}{{22}} = \frac{{136}}{{176}}\\ \Rightarrow \frac{5}{8} < \frac{{17}}{{22}}\,\,\,\,\left( 3 \right)\\so\,\,sanh:\,\,\frac{{19}}{{24}}\,\,va\,\,\frac{{17}}{{22}}\\\left\{ \begin{array}{l}1 – \frac{{19}}{{24}} = \frac{5}{{24}}\\1 – \frac{{17}}{{22}} = \frac{5}{{22}}\end{array} \right. \Rightarrow \frac{5}{{24}} < \frac{5}{{22}}hay\,\,\frac{{19}}{{24}} > \frac{{17}}{{22}}\,\,\,\,\left( 4 \right)\\tu\,\,\left( 1 \right);\,\,\,\left( 2 \right);\,\left( 3 \right);\,\,\left( 4 \right)\\ \Rightarrow \frac{5}{8} < \frac{{17}}{{22}} < \frac{{19}}{{24}} < \frac{{13}}{{11}}\end{array}\)