Add 16/28 and 75/21, Solve 16/28 + 3 12/21 as a fraction

Add 16/28 and 75/21

1^st number: 16/28, 2^nd number: 3 12/21

16/28 + 75/21 is 29/7.

Find the least common denominator or LCM of the two denominators:
LCM of 28 and 21 is 84

Next, find the equivalent fraction of both fractional numbers with denominator 84
For the 1st fraction, since 28 × 3 = 84,
16/28 = 16 × 3/28 × 3 = 48/84
Likewise, for the 2nd fraction, since 21 × 4 = 84,
75/21 = 75 × 4/21 × 4 = 300/84
Add the two like fractions:
48/84 + 300/84 = 48 + 300/84 = 348/84
348/84 simplified gives 29/7
So, 16/28 + 75/21 = 29/7
In mixed form: 41/7

MathStep (Works offline)

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