Add 21/28 and 9/16
21/28 + 9/16 is 21/16.
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,
21/28 = 21 × 4/28 × 4 = 84/112 - Likewise, for the 2nd fraction, since 16 × 7 = 112,
9/16 = 9 × 7/16 × 7 = 63/112 - Add the two like fractions:
84/112 + 63/112 = 84 + 63/112 = 147/112 - 147/112 simplified gives 21/16
- So, 21/28 + 9/16 = 21/16
In mixed form: 15/16
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/28+9/16 21/28+18/16 21/56+9/16 21/28+9/32 63/28+9/16 21/28+27/16 21/84+9/16 21/28+9/48 21/28+45/16 21/28+9/80 21/28+63/16