Question

The value of $\frac{3}{5}\times (\frac{35}{24}+\frac{10}{1})$ is _____.

• A. $6\frac{5}{8}$
• B. $\frac{8}{55}$
• C. $6\frac{7}{8}$
• D. $5\frac{7}{8}$

Answer 1

The correct option is C $6\frac{7}{8}$

$\frac{3}{5}\times (\frac{35}{24}+\frac{10}{1})$

$=(\frac{3}{5}\times \frac{35}{24})+(\frac{3}{5}\times \frac{10}{1})$
(using distributive law)

$=\left(\frac{7}{8}\right)+\left(\frac{6}{1}\right)$

$=\left(\frac{7}{8}\right)+\left(\frac{6\times 8}{1\times 8}\right)$

$=\left(\frac{7}{8}\right)+\left(\frac{48}{8}\right)$

$=\frac{7+48}{8}$

$=\frac{55}{8}=6\frac{7}{8}$