Add 21/27 and 42/28
1st number: 21/27, 2nd number: 1 14/28
21/27 + 42/28 is 41/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 28 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 27 × 28 = 756,
21/27 = 21 × 28/27 × 28 = 588/756 - Likewise, for the 2nd fraction, since 28 × 27 = 756,
42/28 = 42 × 27/28 × 27 = 1134/756 - Add the two like fractions:
588/756 + 1134/756 = 588 + 1134/756 = 1722/756 - 1722/756 simplified gives 41/18
- So, 21/27 + 42/28 = 41/18
In mixed form: 25/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/27+42/28 21/27+84/28 21/54+42/28 21/27+42/56 63/27+42/28 21/81+42/28 21/27+42/84