Add 16/36 and 81/14, Solve 16/36 + 5 11/14 as a fraction

Add 16/36 and 81/14

1^st number: 16/36, 2^nd number: 5 11/14

16/36 + 81/14 is 785/126.

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

Next, find the equivalent fraction of both fractional numbers with denominator 252
For the 1st fraction, since 36 × 7 = 252,
16/36 = 16 × 7/36 × 7 = 112/252
Likewise, for the 2nd fraction, since 14 × 18 = 252,
81/14 = 81 × 18/14 × 18 = 1458/252
Add the two like fractions:
112/252 + 1458/252 = 112 + 1458/252 = 1570/252
1570/252 simplified gives 785/126
So, 16/36 + 81/14 = 785/126
In mixed form: 629/126

MathStep (Works offline)

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