Question

_____ is a fraction between $\frac{2}{9}$ and $\frac{6}{19}$

• A. $\frac{12}{24}$
• B. $\frac{6}{10}$
• C. $\frac{8}{28}$
• D. $\frac{32}{40}$

Answer 1

The correct option is C

$\frac{8}{28}$

One fraction exisiting between $\frac{a}{b}$ and $\frac{c}{d}$ is $\frac{a+c}{b+d}$.

Here, we have to insert a fraction between $\frac{2}{9}$​ and $\frac{6}{19}$​.

$\text{a = 2, b = 9, c = 6 and d = 19}$

One fraction exisiting between them is: $\frac{2+6}{9+19}$ = $\frac{8}{28}$