Question

Given the fractions `13/45` and `22/75`. write their equivalent fractions with the same denominators and add the fractions.

Answer 1

The given fractions are `13/45` and `22/75`

Multiples of 45: 45, 90, 135, 180, 225, 270,...

Multiples of 75: 75, 150, 225,...

Common multiples of 45 and 75: 225, 450,...

∴ LCM of 45 and 75 = 225

Equivalent fraction of `13/45 = (13 xx 5)/(45 xx 5) = 65/225`   (225 ÷ 45 = 5)

Equivalent fraction of `22/75 = (22 xx 3)/(75 xx 3) = 66/225`   (225 ÷ 75 = 3)

Also, 

`13/45 + 22/75`

`= 65/225 + 66/225`

`= (65 + 66)/225`

`= 131/225`