Question

How to find the five rational numbers between 5/7 2/3?

Answer 1

five rational numbers between-
5/7 & 2/3
L.C.M of 7 and 3 is 21
= 5*3/7*3 & 2*7/3*7
= 15/21 & 14/21
=15*6/21*6 & 14*6/21*6.
= 90/126. 84/126
Five rational no. are-
85/126 ,86/126 ,87/126 ,88/126 and 89/126.

Answer 2

To the denominator same in both, taking LCM

LCM = 21


5/7 = 15/21
2/3 = 14/21


15/21 > 14/21

As We have to find 5 rational number, multiply by 6,we get



$\frac{15 \times 6}{7 \times 6} > \frac{14 \times 6}{7 \times 6} \\ \\ \\ \frac{90}{42} > \frac{84}{42}$



Hence, numbers are :


85/42

86/42

87/42

88/42

89/42