Find ten rational numbers between 3/5 and 3/4

Solution:

We can find infinitely many rational numbers between any two given rational numbers by taking the mean of the two rational numbers.
Alternative method: We can make the denominator same for the two given rational numbers.

There are infinite numbers between any two rational numbers

Given numbers are 3/5 and 3/4

The LCM of both denominators is 20.

So we shall multiply the numbers to get the denominator as a multiple of 20

Multiplying both the numerator and denominator of 3/5 by 40, we get

3/5 = 3/5 × 40/40 = 120/200

Multiplying both the numerator and denominator of 3/4 by 50, we get

3/4 = 3/4 × 50/50 = 150/200

The ten rational numbers between 120/200 and 150/200 or 3/5 and 3/4 can be taken as:

121/200, 122/200, 123/200, 124/200, 125/200, 126/200, 127/200, 128/200, 129/200, 130/200.

☛ Check: NCERT Solutions for Class 8 Maths Chapter 1

Video Solution:

Find ten rational numbers between 3/5 and 3/4.

NCERT Solutions Class 8 Maths Chapter 1 Exercise 1.2 Question 7

Summary:

Ten rational numbers between 3/5 and 3/4 are 121/200, 122/200, 123/200, 124/200, 125/200, 126/200, 127/200, 128/200, 129/200, 130/200.

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