Add 21/27 and 27/84
21/27 + 27/84 is 277/252.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 84 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 84 × 9 = 756,
27/84 = 27 × 9/84 × 9 = 243/756 - Add the two like fractions:
588/756 + 243/756 = 588 + 243/756 = 831/756 - 831/756 simplified gives 277/252
- So, 21/27 + 27/84 = 277/252
In mixed form: 125/252
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/27+27/84 21/27+54/84 21/54+27/84 63/27+27/84 21/27+81/84 21/81+27/84