Step-by-step explanation:

• If 2 is added to the numerator and denominator it becomes 9/10

• If 3 is subtracted from the numerator and denominator it becomes ⅘.

• The fraction.

Let the numerator be x

And denominator be y

According to the 1st condition :-

By cross multiplication:-

According to the 2nd condition :-

By cross multiplication:-

Multiply equation (ii) with 2

→ 2(5x - 4y = 3)

→ 10x - 8y = 6

Subtract equation (i) from (ii) eliminate x

→ -8y + 9y = 6 + 2

→ y = 8

Substitute y = 8 in equation (ii)

→ 5x - 4y = 3

→ 5x - 4(8) = 3

→ 5x - 32 = 3

→ 5x = 3 + 32

→ 5x = 35

→ x = 7

Therefore:-

The numerator = x = 7

The denominator = y = 8

Hence:-