Add 35/3 and 16/72, Solve 11 2/3 + 16/72 as a fraction

Add 35/3 and 16/72

1^st number: 11 2/3, 2^nd number: 16/72

35/3 + 16/72 is 107/9.

Find the least common denominator or LCM of the two denominators:
LCM of 3 and 72 is 72

Next, find the equivalent fraction of both fractional numbers with denominator 72
For the 1st fraction, since 3 × 24 = 72,
35/3 = 35 × 24/3 × 24 = 840/72
Likewise, for the 2nd fraction, since 72 × 1 = 72,
16/72 = 16 × 1/72 × 1 = 16/72
Add the two like fractions:
840/72 + 16/72 = 840 + 16/72 = 856/72
856/72 simplified gives 107/9
So, 35/3 + 16/72 = 107/9
In mixed form: 118/9

MathStep (Works offline)

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