Question

find three rational number between 1/3 and 1/5

Answer 1

The three numbers are 4/15,9/30 and 7/30.
So you can find the numbers by adding the and make them half and you can get as much numbers as you want.

<Hope it helps>
<<Please mark it as brainliest>>

Answer 2

Three rational numbers between $\frac{1}{3} \text { and } \frac{1}{5} \text { are } \frac{4}{15}, \frac{3}{10} \text { and } \frac{7}{30}$

Given:

The two numbers are $\frac{1}{3} \text { and } \frac{1}{5}$

To find:

The rational number between two numbers

Solution:

Now, to find the rational number, add the numbers and divide their sum by 2.

(i) First rational number between

$\frac{1}{3}, \frac{1}{5}=\frac{1}{3}+\frac{1}{5}=\frac{8}{15}$

Divide $\frac{8}{15} \text { by } 2 \Rightarrow \frac{8}{15} \times \frac{1}{2}=\frac{8}{30}=\frac{4}{15}$

The series becomes, $\frac{1}{3}, \frac{4}{15}, \frac{1}{5}$

(ii) Second rational number

$= \frac{1}{3}+\frac{4}{15}=\frac{9}{15}=\frac{3}{5}$

Divide $\frac{3}{5} by 2 \Rightarrow \frac{3}{5} \times \frac{1}{2}=\frac{3}{10}$

The series becomes, $\frac{1}{3}, \frac{3}{10}, \frac{4}{15}, \frac{1}{5}$

(iii) Third rational number

$=\frac{4}{15}+\frac{1}{5}=\frac{7}{15}$

Divide$\frac{7}{15} \text { by } 2 \Rightarrow \frac{7}{15} \times \frac{1}{2}=\frac{7}{30}$