Question

Find three rational numbers between $\frac{3}{5}$ and $\frac{4}{5}$.

• A. $\frac{25}{40}$, $\frac{26}{40}$, $\frac{27}{40}$
• B. $\frac{19}{30}$, $\frac{20}{30}$, $\frac{21}{30}$
• C. $\frac{33}{48}$, $\frac{34}{48}$, $\frac{35}{48}$
• D. $\frac{65}{176}$, $\frac{66}{176}$, $\frac{67}{176}$

Answer 1

The correct option is A $\frac{25}{40}$, $\frac{26}{40}$, $\frac{27}{40}$

Step1:
Write the number a and b in $\frac{p}{q}$ form

Multiply the numerator and denominator of both $\frac{3}{5}$ and $\frac{4}{5}$ by (3+5) we get,

$\frac{3}{5}$ × $\frac{8}{8}=\frac{24}{40}$

Similarly,
$\frac{4}{5}$ × $\frac{8}{8}=\frac{32}{40}$

Therfore, The fractions between $\frac{3}{5}$ and $\frac{4}{5}$ are $\frac{25}{40}$ , $\frac{26}{40}$, $\frac{27}{40}$.