Question

Simplify the following :

$0.4\times \frac{7}{3}÷\frac{15}{8}$ of $(\frac{7}{5}-\frac{4}{3})$.

• A. $5\frac{8}{3375}$
• B. $7\frac{8}{15}$
• C. $7\frac{7}{15}$
• D. $5\frac{7}{3375}$

Answer 1

Answer: (C)

$7\frac{7}{15}$

The given expression is

$0.4\times \frac{7}{3}÷\frac{15}{8}$ of $(\frac{7}{5}-\frac{4}{3})$

$=\frac{4}{10}\times \frac{7}{3}÷\frac{15}{8}$ of $\frac{1}{15}$

$=\frac{2}{5}\times \frac{7}{3}÷\frac{1}{8}$

$=\frac{2}{5}\times \frac{7}{3}\times \frac{8}{1}$

$=\frac{112}{15}$

$=7\frac{7}{15}$