Add 21/84 and 36/27
1st number: 21/84, 2nd number: 1 9/27
21/84 + 36/27 is 19/12.
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,
36/27 = 36 × 28/27 × 28 = 1008/756 - Add the two like fractions:
189/756 + 1008/756 = 189 + 1008/756 = 1197/756 - 1197/756 simplified gives 19/12
- So, 21/84 + 36/27 = 19/12
In mixed form: 17/12
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/84+36/27 21/84+72/27 21/84+36/54 63/84+36/27 21/84+36/81