Add 7/16 and 21/36
7/16 + 21/36 is 49/48.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 36 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 16 × 9 = 144,
7/16 = 7 × 9/16 × 9 = 63/144 - Likewise, for the 2nd fraction, since 36 × 4 = 144,
21/36 = 21 × 4/36 × 4 = 84/144 - Add the two like fractions:
63/144 + 84/144 = 63 + 84/144 = 147/144 - 147/144 simplified gives 49/48
- So, 7/16 + 21/36 = 49/48
In mixed form: 11/48
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/16+21/36 7/16+42/36 7/32+21/36 7/16+21/72 21/16+21/36 7/16+63/36 7/48+21/36 35/16+21/36 7/80+21/36 49/16+21/36