Question

find four rational numbers between 2/3 and 4/5

Answer 1

Answer: Firstly, 2/3 = 2×5 / 3×5

= 10/15

4/5 = 4×3 / 5×3

= 12/15

We can find four rational numbers between 2/3 and 4/5 by multiplying them with 4 + 1 = 5

Then, 10/15 × 5/5

50/75

= 12/15 × 5/5

= 60/75

= The Rational Numbers - 51/75, 52/75, 53/75, 54/75......... , Etc.

Answer 2

Given,

Two numbers = 2/3 and 4/5

To find,

four rational numbers between the given

Solution,

First, we need to find out the LCM of the denominators

So, LCM of 3 and 5 is 15

The first two numbers will be when we multiply 2/3 with 5/5 and 4/3 with 5/5

That is,

2/3 x 5/5 = 10/15

and

4/3 x 3/3 = 12/15

then, we can multiply the answers we got by either 5/5 or 3/3 to get the other numbers. It is better to multiply by 5/5

So,

10/15 x 5/5 = 50/75

12/15 x 5/5 = 60/75

Thus the four rational numbers between 2/3 and 4/5 are 52/75, 54/75, 56/75 and 58/75