List four rational numbers between 5/7 and 7/8.
Solution:
Given, the rational numbers are 5/7 and 7/8.
We have to find four rational numbers between 5/7 and 7/8.
Taking LCM,
7 = 7
8 = 2 × 2 × 2
LCM of 7 and 8 = 2 × 2 × 2 × 7 = 56
To make the denominators same,
Multiply the numerator and denominator by 8 in 5/7,
5/7 × 8/8 = 5 × 8 / 7 × 8 = 40/56
Multiply the numerator and denominator by 7 in 7/8,
7/8 × 7/7 = 7 × 7 / 8 × 7 = 49/56
The rational numbers between 40/56 and 49/56
= 42/56, 44/56, 46/56, 48/56
Therefore, the four rational numbers are 42/56, 44/56, 46/56 and 48/56
✦ Try This: List four rational numbers between 3/7 and 7/6.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 9
NCERT Exemplar Class 7 Maths Chapter 8 Problem 77
List four rational numbers between 5/7 and 7/8.
Summary:
The four rational numbers between 5/7 and 7/8 are 42/56, 44/56, 46/56 and 48/56
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