Add 35/42 and 7/16
35/42 + 7/16 is 61/48.
Steps for adding fractions
- 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,
7/16 = 7 × 21/16 × 21 = 147/336 - Add the two like fractions:
280/336 + 147/336 = 280 + 147/336 = 427/336 - 427/336 simplified gives 61/48
- So, 35/42 + 7/16 = 61/48
In mixed form: 113/48
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/42+7/16 35/42+14/16 35/84+7/16 35/42+7/32 35/42+21/16 35/42+7/48 35/42+35/16 35/42+7/80 35/42+49/16