Question

find three rational numbers between 2.1 and 2.2.

Answer 1

Answer:
We know rational number can expressed in form of $\frac{p}{q}$ where q$\ne$0 .
So we can write 2.1 and 2.2 As:
Divide and multiply by 10 , we get
$\frac{21}{10}$ And $\frac{22}{10}$ , they are in form of ​$\frac{p}{q}$ where q$\ne$0 .
Now multiply and divide by 4 on both numbers we get

$\frac{21}{10}$ = $\frac{84}{40}$

And

$\frac{22}{10}$ = $\frac{88}{40}$
Now we can easily find three rational number between them as

$\frac{85}{40}$ , $\frac{86}{40}$ And $\frac{87}{40}$

We can say that

$\frac{21}{10}$ < $\frac{85}{40}$ < $\frac{86}{40}$ < $\frac{87}{40}$ < $\frac{22}{10}$ ( Ans )