Add 21/84 and 21/27
21/84 + 21/27 is 37/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 27 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 84 × 9 = 756,
21/84 = 21 × 9/84 × 9 = 189/756 - Likewise, for the 2nd fraction, since 27 × 28 = 756,
21/27 = 21 × 28/27 × 28 = 588/756 - Add the two like fractions:
189/756 + 588/756 = 189 + 588/756 = 777/756 - 777/756 simplified gives 37/36
- So, 21/84 + 21/27 = 37/36
In mixed form: 11/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/84+21/27 21/84+42/27 21/84+21/54 63/84+21/27 21/84+63/27 21/84+21/81