Add 21/35 and 35/56
21/35 + 35/56 is 49/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 56 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 35 × 8 = 280,
21/35 = 21 × 8/35 × 8 = 168/280 - Likewise, for the 2nd fraction, since 56 × 5 = 280,
35/56 = 35 × 5/56 × 5 = 175/280 - Add the two like fractions:
168/280 + 175/280 = 168 + 175/280 = 343/280 - 343/280 simplified gives 49/40
- So, 21/35 + 35/56 = 49/40
In mixed form: 19/40
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/35+35/56 21/35+70/56 21/70+35/56 63/35+35/56