Add 28/84 and 16/5, Solve 28/84 + 3 1/5 as a fraction

Add 28/84 and 16/5

1^st number: 28/84, 2^nd number: 3 1/5

28/84 + 16/5 is 53/15.

Find the least common denominator or LCM of the two denominators:
LCM of 84 and 5 is 420

Next, find the equivalent fraction of both fractional numbers with denominator 420
For the 1st fraction, since 84 × 5 = 420,
28/84 = 28 × 5/84 × 5 = 140/420
Likewise, for the 2nd fraction, since 5 × 84 = 420,
16/5 = 16 × 84/5 × 84 = 1344/420
Add the two like fractions:
140/420 + 1344/420 = 140 + 1344/420 = 1484/420
1484/420 simplified gives 53/15
So, 28/84 + 16/5 = 53/15
In mixed form: 38/15

MathStep (Works offline)

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