Add 21/36 and 35/56
21/36 + 35/56 is 29/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 56 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 36 × 14 = 504,
21/36 = 21 × 14/36 × 14 = 294/504 - Likewise, for the 2nd fraction, since 56 × 9 = 504,
35/56 = 35 × 9/56 × 9 = 315/504 - Add the two like fractions:
294/504 + 315/504 = 294 + 315/504 = 609/504 - 609/504 simplified gives 29/24
- So, 21/36 + 35/56 = 29/24
In mixed form: 15/24
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/36+35/56 21/36+70/56 21/72+35/56 63/36+35/56