Add 28/49 and 7/16
28/49 + 7/16 is 113/112.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 16 is 784
Next, find the equivalent fraction of both fractional numbers with denominator 784 - For the 1st fraction, since 49 × 16 = 784,
28/49 = 28 × 16/49 × 16 = 448/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
7/16 = 7 × 49/16 × 49 = 343/784 - Add the two like fractions:
448/784 + 343/784 = 448 + 343/784 = 791/784 - 791/784 simplified gives 113/112
- So, 28/49 + 7/16 = 113/112
In mixed form: 11/112
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 56/49+7/16 28/49+14/16 28/98+7/16 28/49+7/32 84/49+7/16 28/49+21/16 28/49+7/48 28/49+35/16 28/49+7/80 28/49+49/16