Add 16/27 and 63/42, Solve 16/27 + 1 21/42 as a fraction

Add 16/27 and 63/42

1^st number: 16/27, 2^nd number: 1 21/42

16/27 + 63/42 is 113/54.

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

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 27 × 14 = 378,
16/27 = 16 × 14/27 × 14 = 224/378
Likewise, for the 2nd fraction, since 42 × 9 = 378,
63/42 = 63 × 9/42 × 9 = 567/378
Add the two like fractions:
224/378 + 567/378 = 224 + 567/378 = 791/378
791/378 simplified gives 113/54
So, 16/27 + 63/42 = 113/54
In mixed form: 25/54

MathStep (Works offline)

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