**Find Five
Rational Numbers Between 2/3 and 4/5**

Here, 2/3 and 4/5 are unlike fractions
or rational numbers. First of all, make them like rational numbers. The LCM of
their denominators is 15.

So, (2 × 5)/(3 × 5) = 10/15

And (4 × 3)/(5 × 3) = 12/15

Here, we can write one rational number
between 10/15 and 12/15 easily, which is 11/15.

But to find 5 rational numbers between
them, multiply the numerator and the denominator of 10/15 and 12/15 by 4. We
get 40/60 and 48/60.

Five rational numbers between 40/60 and
48/60 are: 41/60, 42/60, 43/60, 44/60, 45/60

Thus, five rational numbers between 2/3
and 4/5 are 41/60, 42/60, 43/60, 44/60 and 45/60.

**Find Ten Rational
Numbers Between 3/5 and 3/4**

Here, 3/5 and 3/4 are unlike fractions
or rational numbers. First of all, make them like rational numbers. The LCM of
their denominators is 20.

So, (3 × 4)/(5 × 4) = 12/20

And (3 × 5)/(4 × 5) = 15/20

Here, we can write two rational numbers
between 12/20 and 15/20 easily, which are 13/20 and 14/20.

But to find 10 rational numbers between
them, multiply the numerator and the denominator of 12/20 and 15/20 by 5. We
get 60/100 and 75/100.

Ten rational numbers between 60/100 and
75/100 are: 61/100, 62/100, 63/100, 64/100, 65/100, 66/100, 67/100, 68/100,
69/100, 70/100

Thus, ten rational numbers between 3/5
and 3/4 are 61/100, 62/100, 63/100, 64/100, 65/100, 66/100, 67/100, 68/100,
69/100, 70/100.