Question

Find two rational numbers between 2/5 and 1/2

Answer 1

$\dfrac{9}{20},\dfrac{17}{40}$

Two rational numbers between $\dfrac{2}{5}$ and $\dfrac{1}{2}$ are $\dfrac{9}{20}$ and $\dfrac{17}{40}$.

Given:

Two numbers $\dfrac{2}{5}$ and $\dfrac{1}{2}$

To find:

Two rational numbers between them

Concept:

To find a rational number two numbers, we divide their sum by 2

Step-by-step explanation:

Part 1 of 2.

Two numbers are $\dfrac{2}{5}$ and $\dfrac{1}{2}$

Their sum

= $\dfrac{2}{5}+\dfrac{1}{2}$

= $\dfrac{2\times 2+1\times 5}{10}$

= $\dfrac{4+5}{10}$

= $\dfrac{9}{10}$

So, one required rational number

= $\dfrac{9}{10}\div 2$

= $\dfrac{9}{10}\times\dfrac{1}{2}$

= $\dfrac{9}{20}$

Part 2 of 2.

Two numbers are $\dfrac{2}{5}$ and $\dfrac{9}{20}$

Their sum

= $\dfrac{2}{5}+\dfrac{9}{20}$

= $\dfrac{2\times 4+9\times 1}{20}$

= $\dfrac{8+9}{20}$

= $\dfrac{17}{20}$

So, the other required rational number

= $\dfrac{17}{20}\div 2$

= $\dfrac{17}{20}\times\dfrac{1}{2}$

= $\dfrac{17}{40}$

#SPJ3