Add 20/35 and 49/40
1st number: 20/35, 2nd number: 1 9/40
20/35 + 49/40 is 503/280.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 35 × 8 = 280,
20/35 = 20 × 8/35 × 8 = 160/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
49/40 = 49 × 7/40 × 7 = 343/280 - Add the two like fractions:
160/280 + 343/280 = 160 + 343/280 = 503/280 - So, 20/35 + 49/40 = 503/280
In mixed form: 1223/280
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/35+49/40 20/35+98/40 20/70+49/40 20/35+49/80 60/35+49/40