Question

Divide the difference of $\frac{1}{5}$ and $\frac{2}{7}$ by $\frac{2}{7}$.

• A. $\frac{1}{10}$
• B. $\frac{21}{10}$
• C. $\frac{3}{10}$
• D. $\frac{4}{10}$

Answer 1

The correct option is C $\frac{3}{10}$

Difference of $\frac{1}{5}$ and $\frac{2}{7}$ is

$\frac{2}{7}-\frac{1}{5}=\frac{2\times 5-1\times 7}{35}=\frac{10-7}{35}=\frac{3}{35}$

Now divide $\frac{3}{35}$ by $\frac{2}{7}$

we have, $\frac{3}{35}÷\frac{2}{7}=\frac{3}{35}\times \frac{7}{2}=\frac{3}{10}$

Ans: $\frac{3}{10}$