Question

how to find rational nubers between fractions

Answer 1

How to find rational numbers between two given rational numbers?

If m and n be two rational numbers such that m < n then 1/2 (m + n) is a rational number between m and n.



1. Find out a rational number lying halfway between 2/7 and 3/4.

Solution:

Required number = 1/2 (2/7 + 3/4)

= 1/2 ((8 + 21)/28)

= {1/2 × 29/28)

= 29/56

Hence, 29/56 is a rational number lying halfway between 2/7 and 3/4.

Answer 2

Answer:

Find The LCM of them, multiply the numerators, and choose any number that falls between those fractions.

ex: $\frac{1}{3}$ and $\frac{1}{5}$

LCM = 15

($\frac{1}{3}$) x 5 = $\frac{5}{15}$

$(\frac{1}{5})$ x 5 = $\frac{3}{15}$

Now, see what number is coming between the two,

Ans : $\frac{4}{15}$

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