Add 35/12 and 2/16, Solve 2 11/12 + 2/16 as a fraction

Add 35/12 and 2/16

1^st number: 2 11/12, 2^nd number: 2/16

35/12 + 2/16 is 73/24.

Find the least common denominator or LCM of the two denominators:
LCM of 12 and 16 is 48

Next, find the equivalent fraction of both fractional numbers with denominator 48
For the 1st fraction, since 12 × 4 = 48,
35/12 = 35 × 4/12 × 4 = 140/48
Likewise, for the 2nd fraction, since 16 × 3 = 48,
2/16 = 2 × 3/16 × 3 = 6/48
Add the two like fractions:
140/48 + 6/48 = 140 + 6/48 = 146/48
146/48 simplified gives 73/24
So, 35/12 + 2/16 = 73/24
In mixed form: 31/24

MathStep (Works offline)

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