Add 9/14 and 84/36, Solve 9/14 + 2 12/36 as a fraction

Add 9/14 and 84/36

1^st number: 9/14, 2^nd number: 2 12/36

9/14 + 84/36 is 125/42.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 36 is 252

Next, find the equivalent fraction of both fractional numbers with denominator 252
For the 1st fraction, since 14 × 18 = 252,
9/14 = 9 × 18/14 × 18 = 162/252
Likewise, for the 2nd fraction, since 36 × 7 = 252,
84/36 = 84 × 7/36 × 7 = 588/252
Add the two like fractions:
162/252 + 588/252 = 162 + 588/252 = 750/252
750/252 simplified gives 125/42
So, 9/14 + 84/36 = 125/42
In mixed form: 241/42

MathStep (Works offline)

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