Add 35/14 and 21/16
1st number: 2 7/14, 2nd number: 1 5/16
35/14 + 21/16 is 61/16.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 16 is 112
Next, find the equivalent fraction of both fractional numbers with denominator 112 - For the 1st fraction, since 14 × 8 = 112,
35/14 = 35 × 8/14 × 8 = 280/112 - Likewise, for the 2nd fraction, since 16 × 7 = 112,
21/16 = 21 × 7/16 × 7 = 147/112 - Add the two like fractions:
280/112 + 147/112 = 280 + 147/112 = 427/112 - 427/112 simplified gives 61/16
- So, 35/14 + 21/16 = 61/16
In mixed form: 313/16
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/14+21/16 35/14+42/16 35/28+21/16 35/14+21/32 35/14+63/16 35/42+21/16 35/14+21/48 35/70+21/16 35/14+21/80 35/98+21/16