Add 35/42 and 20/16, Solve 35/42 + 1 4/16 as a fraction

Add 35/42 and 20/16

1^st number: 35/42, 2^nd number: 1 4/16

35/42 + 20/16 is 25/12.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 16 is 336

Next, find the equivalent fraction of both fractional numbers with denominator 336
For the 1st fraction, since 42 × 8 = 336,
35/42 = 35 × 8/42 × 8 = 280/336
Likewise, for the 2nd fraction, since 16 × 21 = 336,
20/16 = 20 × 21/16 × 21 = 420/336
Add the two like fractions:
280/336 + 420/336 = 280 + 420/336 = 700/336
700/336 simplified gives 25/12
So, 35/42 + 20/16 = 25/12
In mixed form: 21/12

MathStep (Works offline)

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