Question

Find three rational numbers between 1/8 and 1/12

Answer 1

1/8=1×3/8×3=3/24×=3×4/24×4=12/96
1/12=1×2/12×2=2/24=2×4/24×4=8/96
here the answer is 9/96,10/96,11/96

Answer 2

Answer:

$\frac{9}{96},\frac{10}{96},\frac{11}{96}$  

Step-by-step explanation:

Given : Rational numbers between $\frac{1}{8}$ and $\frac{1}{12}$

To find : Three rational numbers between given numbers?

Solution :

First we make their LCM same,

Multiply and divide $\frac{1}{8}$ by 12

$\frac{1\times 12}{8\times 12}=\frac{12}{96}$

Multiply and divide $\frac{1}{12}$ by 8

$\frac{1\times 8}{12\times 8}=\frac{8}{96}$

Now, The numbers between $\frac{8}{96}$ and $\frac{12}{96}$ are 9,10,11.

So, The rational numbers between $\frac{1}{8}$ and $\frac{1}{12}$ are $\frac{9}{96},\frac{10}{96},\frac{11}{96}$