Question

Say True or False

$\frac{9}{40},\frac{17}{80},\frac{19}{80}$ are rational numbers between $\frac{1}{4}$ and $\frac{1}{5}$

• A. True
• B. False

Answer 1

The correct option is A True

$\frac{1}{4}$ and $\frac{1}{5}$
Taking LCM,
$\frac{5}{20}$ and $\frac{4}{20}$

multiply and divide by 2

$\frac{10}{40}$ and $\frac{8}{40}$
So, $\frac{9}{40}$ lies in between them

Multiply and divide by 4
= $\frac{20}{80}$ and $\frac{16}{80}$
Any number between $\frac{16}{80}$ and $\frac{20}{80}$ is the answer:
Hence, the numbers are: $\frac{9}{40}$ ,$\frac{17}{80}$, $\frac{19}{80}$