Question

find two rational numbers between 5/7and9/11

Answer 1

LCM of 7 and 11= 77

5×11/7×11 and 9×7/11×7

55/77 and 63/77

Two rational numbers between 5/7 and 9/11 are 56/77 and 62/77. (you can write any two between 55/77 and 63/77)

Hope it helps! :)

Answer 2

Hey friend,
Here is the answer you were looking for:
$rational \: number \: between \: \frac{5}{7} \: and \: \frac{9}{11} \\ \\ = ( \frac{5}{7} + \frac{9}{11} ) \div 2 \\ \\ = ( \frac{5 \times 11 + 9 \times 7}{77} ) \times \frac{1}{2} \\ \\ = \frac{55 + 63}{77} \times \frac{1}{2} \\ \\ = \frac{118}{154} \\ \\ = \frac{59}{77} \\ \\ rational \: number \: between \: \frac{5}{7} \: and \: \frac{59}{77} \\ \\ ( \frac{5}{7} + \frac{59}{77}) \div 2 \\ \\ = ( \frac{5 \times 5 + 59 \times 1}{77} ) \times \frac{1}{2} \\ \\ = ( \frac{25 + 59}{77} ) \times \frac{1}{2} \\ \\ = \frac{84}{77} \times \frac{1}{2} \\ \\ = \frac{42}{77} \\ \\ so \: the \: two \: rational \: number \: between \: \frac{5}{7} \: and \: \frac{9}{11} \: are \: \frac{59}{77} \: and \: \frac{42}{77}$

Hope this helps!!!

@Mahak24

Thanks...
☺☺