Add 36/16 and 35/12, Solve 2 4/16 + 2 11/12 as a fraction

Add 36/16 and 35/12

1^st number: 2 4/16, 2^nd number: 2 11/12

36/16 + 35/12 is 31/6.

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

Next, find the equivalent fraction of both fractional numbers with denominator 48
For the 1st fraction, since 16 × 3 = 48,
36/16 = 36 × 3/16 × 3 = 108/48
Likewise, for the 2nd fraction, since 12 × 4 = 48,
35/12 = 35 × 4/12 × 4 = 140/48
Add the two like fractions:
108/48 + 140/48 = 108 + 140/48 = 248/48
248/48 simplified gives 31/6
So, 36/16 + 35/12 = 31/6
In mixed form: 51/6

MathStep (Works offline)

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