Add 7/16 and 35/49
7/16 + 35/49 is 129/112.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 49 is 784
Next, find the equivalent fraction of both fractional numbers with denominator 784 - For the 1st fraction, since 16 × 49 = 784,
7/16 = 7 × 49/16 × 49 = 343/784 - Likewise, for the 2nd fraction, since 49 × 16 = 784,
35/49 = 35 × 16/49 × 16 = 560/784 - Add the two like fractions:
343/784 + 560/784 = 343 + 560/784 = 903/784 - 903/784 simplified gives 129/112
- So, 7/16 + 35/49 = 129/112
In mixed form: 117/112
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/16+35/49 7/16+70/49 7/32+35/49 7/16+35/98 21/16+35/49 7/48+35/49 35/16+35/49 7/80+35/49 49/16+35/49