Question

Find ten rational numbers between 3/5 and 3/4​

Answer 1

Answer: Any 10 rational numbers between 120/200 and 150/200

Step-by-step explanation:

3/5 and 3/4

LCM of 5 and 4 = 20

3/5 x 4/4 = 12/20

3/4 x 5/5 = 15/20

Since the difference of the numerators 12 and 15 is less than 10 (as we want 10 rational numbers in between), we will multiply by 10 on both sides.

12/20 x 10/10 = 120/200

15/20 x 10/10 = 150/200

Now we have a difference of 30 between the numerators 120 and 150.

So, we can have 30 rational numbers in between, but for now since we need only ten we will randomly choose some.

121/200 , 125/200 , 129/200 , 130/200 , 131/200 , 135/200 , 139/200 , 140/200 , 141/200 , 145/200.