Add 14/75 and 21/18, Solve 14/75 + 1 3/18 as a fraction

Add 14/75 and 21/18

1^st number: 14/75, 2^nd number: 1 3/18

14/75 + 21/18 is 203/150.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 18 is 450

Next, find the equivalent fraction of both fractional numbers with denominator 450
For the 1st fraction, since 75 × 6 = 450,
14/75 = 14 × 6/75 × 6 = 84/450
Likewise, for the 2nd fraction, since 18 × 25 = 450,
21/18 = 21 × 25/18 × 25 = 525/450
Add the two like fractions:
84/450 + 525/450 = 84 + 525/450 = 609/450
609/450 simplified gives 203/150
So, 14/75 + 21/18 = 203/150
In mixed form: 153/150

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad