Add 10/40 and 21/35
10/40 + 21/35 is 17/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 35 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
10/40 = 10 × 7/40 × 7 = 70/280 - Likewise, for the 2nd fraction, since 35 × 8 = 280,
21/35 = 21 × 8/35 × 8 = 168/280 - Add the two like fractions:
70/280 + 168/280 = 70 + 168/280 = 238/280 - 238/280 simplified gives 17/20
- So, 10/40 + 21/35 = 17/20
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/40+21/35 10/40+42/35 10/80+21/35 10/40+21/70 30/40+21/35 10/40+63/35 50/40+21/35 70/40+21/35