Question

Qual é o valor da expressão: 4/7 . √49/64 + ( 1 - √9/25) : 3/5 + ( 1 + √1/9) ?

Answer 1

$\frac{4}{7}.\sqrt{\frac{49}{64}}+(1-\sqrt{\frac{9}{25}}):\frac{3}{5}+(1+\sqrt{\frac{1}{9}})=\\\\ \frac{4}{7}.\frac{7}{8}+(1-\frac{3}{5}):\frac{3}{5}+(1+\frac{1}{3})=\\\\ \frac{1}{2}+(\frac{5-3}{5}):\frac{3}{5}+(\frac{3+1}{3})=\\\\ \frac{1}{2}+(\frac{2}{5}):\frac{3}{5}+(\frac{4}{3})=\\\\ \frac{1}{2}+(\frac{2}{5}).\frac{5}{3}+(\frac{4}{3})=\\\\ \frac{1}{2}+\frac{2}{3}+\frac{4}{3}=\\\\ \frac{1}{2}+\frac{6}{3}=\\\\ \frac{1}{2}+2=\\\\ \frac{1+4}{2}=\frac{5}{2}$