Question

find a rational number lying between 0.75 and 1.2

Answer 1

0.75=75/100
1.2=12/10
First we have to make the denominators equal.
LCM of 10 and 100 is 100.
The two rational numbers are 120/100 and 75/100. The rational numbers between them can be 76/100, 77/100, 78/100, 79/100, etc. until 120/100.
Therefore, there are many rational numbers between them.

Answer 2

Given 0.75 and 1.2

To Find a rational number lying between 0.75 and 1.2

Solution ;

rational number lying between 0.75 and 1.2

0.75 can be written as 75/100 and 1.2 can be written as 12/10

On taking Lcm of denominators that is 100 we can express numbers ad 75/100 and 120/100

So many rational numbers are lying between them

Hence rational numbers between then are 76/100,77,100 and so on.