Introduction:

To find a rational number lying between 0.75 and 1.2, we need to understand what rational numbers are and how to determine a number that satisfies this condition. Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero. These numbers can be written in the form of p/q, where p and q are integers and q is not equal to zero.

Process:

To find a rational number lying between 0.75 and 1.2, we can follow these steps:

Step 1: Convert the given numbers into fractions

- 0.75 can be written as 75/100 or 3/4 (by dividing both numerator and denominator by 25).
- 1.2 can be written as 12/10 or 6/5 (by dividing both numerator and denominator by 2).

Step 2: Find the average of the two fractions

In order to find a rational number lying between the given fractions, we can take the average of the two fractions obtained in Step 1:

- (3/4 + 6/5) / 2 = (15/20 + 24/20) / 2 = (39/20) / 2 = 39/40

Therefore, the rational number lying between 0.75 and 1.2 is 39/40.

Explanation:

The given range of numbers, 0.75 and 1.2, were first converted into fractions. These fractions were then averaged to find a rational number that lies between them. The resulting rational number is 39/40.

Conclusion:

By following the above steps, we have successfully found a rational number lying between 0.75 and 1.2. The rational number is 39/40.

Rational number=1(Ans).