Question

Insert $4$ rational numbers between $\frac{3}{4}$ and $1$ without using $\left(\frac{a+b}{2}\right)$ formula.

Answer 1

To find: $4$ rational number between $\frac{3}{4}$ and $1.$

Solution:

We can write $\frac{3}{4}$ as $\frac{30}{40}$ and $1$ as $\frac{40}{40}.$

Since, denominators are same for $\frac{30}{40}$ and $\frac{40}{40}.$ So, we can keep increasing the numerator between $30$ and $40$ to get rational numbers between them.

Hence,$\frac{31}{40},\frac{33}{40},\frac{37}{40}$ and $\frac{39}{40}$ are the four required rational numbers between $\frac{3}{4}$ and $1.$