Question

insert six rational numbers between 5/7 and 4/3​

Answer 1

5/7 and 4/3

To find six rational number,

First make the denominator same,

5/7×3/3=15/21

4/3×7/7=28/21

Now add 1 to 6=7 and multiply 7 to both numerator and denominator (6+1=7) because to find 6 rational numbers.

15/21×7/7= 45/147

28/21×7/7= 196/147

Therefore, the six rational numbers are 46/147,47/147,48/147,49/147,50/147,51/147

U can write any rational numbers between 45/147 and196/147

Hope it helps you.......