Add 35/42 and 14/16
35/42 + 14/16 is 41/24.
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,
14/16 = 14 × 21/16 × 21 = 294/336 - Add the two like fractions:
280/336 + 294/336 = 280 + 294/336 = 574/336 - 574/336 simplified gives 41/24
- So, 35/42 + 14/16 = 41/24
In mixed form: 117/24
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/42+14/16 35/42+28/16 35/84+14/16 35/42+14/32 35/42+42/16 35/42+14/48 35/42+70/16 35/42+14/80 35/42+98/16