Add 56/84 and 21/45
56/84 + 21/45 is 17/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 45 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 84 × 15 = 1260,
56/84 = 56 × 15/84 × 15 = 840/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
21/45 = 21 × 28/45 × 28 = 588/1260 - Add the two like fractions:
840/1260 + 588/1260 = 840 + 588/1260 = 1428/1260 - 1428/1260 simplified gives 17/15
- So, 56/84 + 21/45 = 17/15
In mixed form: 12/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 56/84+42/45 56/84+21/90 56/84+63/45