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a: \(\left(\frac{11}{4}-\frac78\right):\frac{11}{2}\)
\(=\left(\frac{22}{8}-\frac78\right)\times\frac{2}{11}\)
\(=\frac{15}{8}\times\frac{2}{11}=\frac{15}{4\times11}=\frac{15}{44}\)
b: Sửa đề: \(\frac{29}{44}:\frac{15}{44}\times\frac{15}{88}:\frac{165}{16}\)
\(=\frac{29}{44}\times\frac{44}{15}\times\frac{15}{88}\times\frac{16}{165}\)
\(=\frac{29}{88}\times\frac{16}{165}=29\times\frac{2}{11\times165}=\frac{58}{1815}\)
\(\frac{2}{7}\)x \(\left(\frac{707}{202}+\frac{707}{3030}+\frac{707}{4242}+\frac{707}{5656}+\frac{707}{7272}\right)\)
\(=\frac{2}{7}\)x \(\left(\frac{7}{2}+\frac{7}{30}+\frac{1}{6}+\frac{1}{8}+\frac{7}{72}\right)\)
\(=\frac{2}{7}\)x \(\left(\frac{1260}{360}+\frac{84}{360}+\frac{60}{360}+\frac{45}{360}+\frac{35}{360}\right)\)
\(=\frac{2}{7}\)x \(\frac{371}{90}=\frac{53}{45}\)
\(a.\left(\frac{6}{11}+\frac{5}{11}\right).\frac{3}{7}=1\cdot\frac{3}{7}=\frac{3}{7}b.\frac{3}{5}\cdot\frac{7}{9}+\frac{3}{5}\cdot\frac{2}{9}=\frac{3}{5}\cdot\left(\frac{7}{9}+\frac{2}{9}\right)=\frac{3}{5}\cdot1=\frac{3}{5}\)
\(6-\left(\frac76+\frac{7}{18}\right)\)
\(=6-\left(\frac{7\times3}{6\times3}+\frac{7}{18}\right)\)
\(=6-\left(\frac{21}{18}+\frac{7}{18}\right)\)
\(=6-\left(\frac{21+7}{18}\right)\)
\(=6-\frac{28}{18}\)
\(=6-\frac{28:2}{18:2}\)
\(=6-\frac{14}{9}\)
\(=\frac{6\times9}{1\times9}-\frac{14}{9}\)
\(=\frac{36}{9}-\frac{14}{9}\)
\(=\frac{54-14}{9}\)
\(=\frac{40}{9}\)
cong hai cái số trong ngoac rồi lấy 6 đổi ra 6'1 trừ đi
gà