Add 10/12 and 28/16, Solve 10/12 + 1 12/16 as a fraction

Add 10/12 and 28/16

1^st number: 10/12, 2^nd number: 1 12/16

10/12 + 28/16 is 31/12.

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,
10/12 = 10 × 4/12 × 4 = 40/48
Likewise, for the 2nd fraction, since 16 × 3 = 48,
28/16 = 28 × 3/16 × 3 = 84/48
Add the two like fractions:
40/48 + 84/48 = 40 + 84/48 = 124/48
124/48 simplified gives 31/12
So, 10/12 + 28/16 = 31/12
In mixed form: 27/12

MathStep (Works offline)

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