Add 28/42 and 16/27, Solve 28/42 + 16/27 as a fraction

Add 28/42 and 16/27

28/42 + 16/27 is 34/27.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 27 is 378

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 42 × 9 = 378,
28/42 = 28 × 9/42 × 9 = 252/378
Likewise, for the 2nd fraction, since 27 × 14 = 378,
16/27 = 16 × 14/27 × 14 = 224/378
Add the two like fractions:
252/378 + 224/378 = 252 + 224/378 = 476/378
476/378 simplified gives 34/27
So, 28/42 + 16/27 = 34/27
In mixed form: 17/27

MathStep (Works offline)

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