Add 35/16 and 21/49, Solve 2 3/16 + 21/49 as a fraction

Add 35/16 and 21/49

1^st number: 2 3/16, 2^nd number: 21/49

35/16 + 21/49 is 293/112.

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,
35/16 = 35 × 49/16 × 49 = 1715/784
Likewise, for the 2nd fraction, since 49 × 16 = 784,
21/49 = 21 × 16/49 × 16 = 336/784
Add the two like fractions:
1715/784 + 336/784 = 1715 + 336/784 = 2051/784
2051/784 simplified gives 293/112
So, 35/16 + 21/49 = 293/112
In mixed form: 269/112

MathStep (Works offline)

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