Question

Insert Two Rational Numbers between 3/8 and 7/12 .
Answer:(3/8, 41/96, 23/48, 7/12)
According To Concise Mathematics I.C.S.E Class IX
How is it possible ?

Answer 1

lcm of 12 and 8 is 24

3/8 = 3x3/8x3 = 9/24
7/12=7x2/12x2 = 14/24

now
9x4 /24 x4 = 36/96
14x4/24x4 = 56/96

23/48 = 23 x2/ 48 x 2 = 46/96

we observe -
46/96 is more than 3/8(36/96)
so it is possible
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any two rational numbers can also be

10/24, 12/24

Answer 2

Given,
to insert any two rational number between 3/8 and 7/12.

We have to solve the problem by equating both the denominators.
So,
3/8=3/8*3/3=9/24
7/12=7/12*2/2=14/24

so the rational number between the 3/8 and 7/12 are

9/24,10/24,11/24,12/24,13/24,14/24
It can also written as
3/8,40/96,22/48,13/24,7/12.