Question

State true or false:

Ten rational numbers between $\frac{3}{5}$ and $\frac{3}{4}$ are

$\frac{97}{160},\frac{98}{160},\frac{99}{160},\frac{100}{160},\frac{101}{160},\frac{102}{160},\frac{103}{160},\frac{104}{160},\frac{105}{160},\frac{106}{160}$

• A. True
• B. False

Answer 1

The correct option is A True

To get the rational numbers between $\frac{3}{5}$ and $\frac{3}{4}$
Take an LCM of these two numbers: $\frac{12}{20}$ and $\frac{15}{20}$

So now to make the denominator $\left(160\right)$ as per the question we need to
multiply numerator and denominator by $8$: $\frac{96}{160}$ and $\frac{120}{160}$
All the numbers between $\frac{96}{160}$ and $\frac{120}{160}$ form the answer
Some of these numbers are $\frac{97}{160}$, $\frac{98}{160}$, $\frac{99}{160}$, $\frac{100}{160}$, $\frac{101}{160}$, $\frac{102}{160}$, $\frac{103}{160}$, $\frac{104}{160}$, $\frac{105}{160}$, $\frac{106}{160}$