Question

Find three rational numbers between 3/5 and 4/7

Answer 1

first take the LCM of deno.
LCM of 5 and 7=35
3/5×7=21/35
4/7×5=20/35
Then multiply it by 10
21/35×10=210/350
20/35×10=200/350
Choose any no. between them
Say - 202/350,205/350,
207/350

Answer 2

Answer :

Three rational numbers between $\frac{3}{5}$ and $\frac{4}{7}$ are $\frac{201}{350},\ \frac{202}{350},\ \frac{203}{350}$

Step by step explanation:

To find :  Three rational numbers between $\frac{3}{5}$ and $\frac{4}{7}$?

Solution :

Rational number is defined as the number which can be written in the from of $\frac{p}{q}$ where, p and q are integers and q is non-zero.

Rational numbers are terminating and repeating.

To get the rational numbers between $\frac{3}{5}$ and $\frac{4}{7}$ we have to make their denominator same.

Multiply and divide $\frac{3}{5}$ by 70,

$\frac{3}{5}=\frac{3\times 70}{5\times 70}=\frac{210}{350}$

Multiply and divide $\frac{4}{7}$ by 50,

$\frac{4}{7}=\frac{4\times 50}{7\times 50}=\frac{200}{350}$

The three rational numbers between $\frac{200}{350}$ and $\frac{210}{350}$ are $\frac{201}{350},\ \frac{202}{350},\ \frac{203}{350}$

Therefore, Three rational numbers between $\frac{3}{5}$ and $\frac{4}{7}$ are $\frac{201}{350},\ \frac{202}{350},\ \frac{203}{350}$