Add 35/28 and 21/16
1st number: 1 7/28, 2nd number: 1 5/16
35/28 + 21/16 is 41/16.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 16 is 112
Next, find the equivalent fraction of both fractional numbers with denominator 112 - For the 1st fraction, since 28 × 4 = 112,
35/28 = 35 × 4/28 × 4 = 140/112 - Likewise, for the 2nd fraction, since 16 × 7 = 112,
21/16 = 21 × 7/16 × 7 = 147/112 - Add the two like fractions:
140/112 + 147/112 = 140 + 147/112 = 287/112 - 287/112 simplified gives 41/16
- So, 35/28 + 21/16 = 41/16
In mixed form: 29/16
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/28+21/16 35/28+42/16 35/56+21/16 35/28+21/32 35/28+63/16 35/84+21/16 35/28+21/48 35/28+21/80