Question

find two irrational number between 6/7 and 12/13

Answer 1

this is your answer

Answer 2

Answer:

$\frac{78}{91}$ and $\frac{84}{91}$            

Step-by-step explanation:

Given : Two numbers $\frac{6}{7}$  and  $\frac{12}{13}$

To find : Two irrational numbers between them.

Solution : First we make the denominator same for that we take,

LCM of 7 and 13 = 91

Now make the denominator 91 in both the numbers,

In $\frac{6}{7}$ multiply numerator and denominator by 13

$\frac{6}{7}=\frac{6\times13}{7\times13}=\frac{78}{91}$

In $\frac{12}{13}$ multiply numerator and denominator by 7

$\frac{12}{13}=\frac{12\times7}{13\times7}=\frac{84}{91}$

Therefore, $\frac{78}{91}$ and $\frac{84}{91}$ both are irrational

numbers between $\frac{6}{7}$  and  $\frac{12}{13}$