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1/2 : 0,5 - 1/4 : 0,25 + 1/8 : 0,125 - 1/10 : 0,1
= 1/2 x 2 - 1/4 x 4 + 1/8 x 8 - 1/10 x 10
= 1 - 1 + 1 - 1
= 0
\(\frac{1}{2}\)\(\div\)\(0,5\)\(-\)\(\frac{1}{4}\div0,25\)\(+\)\(\frac{1}{8}\div0,125\)\(-\)\(\frac{1}{10}\div0,1\)
\(=\)\(\frac{1}{2}\)\(\div\)\(\frac{1}{2}\)\(-\)\(\frac{1}{4}\div\frac{1}{4}\)\(+\)\(\frac{1}{8}\div\frac{1}{8}\)\(-\)\(\frac{1}{10}\div\frac{1}{10}\)
\(=\)\(\frac{1}{2}\)\(\times\frac{2}{1}\)\(-\)\(\frac{1}{4}\times\frac{4}{1}\)\(+\)\(\frac{1}{8}\times\frac{8}{1}\)\(-\)\(\frac{1}{10}\times\frac{10}{1}\)
\(=\)\(1-1+1-1\)
\(=\)\(0\)
\(a,\frac{9}{14}\cdot y=\left[\frac{5}{7}-\frac{3}{14}\right]\cdot\frac{4}{7}\)
\(\Rightarrow\frac{9}{14}\cdot y=\left[\frac{10}{14}-\frac{3}{14}\right]\cdot\frac{4}{7}\)
\(\Rightarrow\frac{9}{14}\cdot y=\frac{1}{2}\cdot\frac{4}{7}\)
\(\Rightarrow\frac{9}{14}\cdot y=\frac{2}{7}\)
\(\Rightarrow y=\frac{2}{7}:\frac{9}{14}=\frac{2}{7}\cdot\frac{14}{9}=\frac{2}{1}\cdot\frac{2}{9}=\frac{4}{9}\)
\(\Leftrightarrow y=\frac{4}{9}\)
b, tương tự
\(\frac{5}{9}\times\frac{12}{7}=\frac{5\times12}{9\times7}=\frac{5\times4\times3}{3\times3\times7}=\frac{20}{21}\)
\(\frac{6}{5}:\frac{8}{3}=\frac{6}{5}\times\frac{8}{3}=\frac{2\times3\times8}{5\times3}=\frac{16}{5}\)
\(\frac{9}{20}\times\frac{5}{12}=\frac{3\times3\times5}{4\times5\times4\times3}=\frac{3}{16}\)
\(\frac{15}{16}:\frac{25}{24}=\frac{15}{16}\times\frac{24}{25}=\frac{3\times5\times4\times2\times3}{4\times2\times2\times5\times5}=\frac{9}{10}\)
\(14\times\frac{5}{21}=\frac{2\times7\times5}{3\times7}=\frac{10}{3}\)
\(10:\frac{5}{3}=10\times\frac{3}{5}=\frac{2\times5\times3}{5}=6\)
\(\frac{5}{3}:10=\frac{5}{3}\times\frac{1}{10}=\frac{5}{3\times2\times5}=\frac{1}{6}\)
giúp tôi với
\(\frac{39}{5}\)