Add 6/16 and 35/42, Solve 6/16 + 35/42 as a fraction

Add 6/16 and 35/42

6/16 + 35/42 is 29/24.

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

Next, find the equivalent fraction of both fractional numbers with denominator 336
For the 1st fraction, since 16 × 21 = 336,
6/16 = 6 × 21/16 × 21 = 126/336
Likewise, for the 2nd fraction, since 42 × 8 = 336,
35/42 = 35 × 8/42 × 8 = 280/336
Add the two like fractions:
126/336 + 280/336 = 126 + 280/336 = 406/336
406/336 simplified gives 29/24
So, 6/16 + 35/42 = 29/24
In mixed form: 15/24

MathStep (Works offline)

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