Add 21/28 and 7/27
21/28 + 7/27 is 109/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 27 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 28 × 27 = 756,
21/28 = 21 × 27/28 × 27 = 567/756 - Likewise, for the 2nd fraction, since 27 × 28 = 756,
7/27 = 7 × 28/27 × 28 = 196/756 - Add the two like fractions:
567/756 + 196/756 = 567 + 196/756 = 763/756 - 763/756 simplified gives 109/108
- So, 21/28 + 7/27 = 109/108
In mixed form: 11/108
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/28+7/27 21/28+14/27 21/56+7/27 21/28+7/54 63/28+7/27 21/28+21/27 21/84+7/27 21/28+7/81 21/28+35/27 21/28+49/27