Add 3/7 and 49/40
1st number: 3/7, 2nd number: 1 9/40
3/7 + 49/40 is 463/280.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 7 × 40 = 280,
3/7 = 3 × 40/7 × 40 = 120/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
49/40 = 49 × 7/40 × 7 = 343/280 - Add the two like fractions:
120/280 + 343/280 = 120 + 343/280 = 463/280 - So, 3/7 + 49/40 = 463/280
In mixed form: 1183/280
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 6/7+49/40 3/7+98/40 3/14+49/40 3/7+49/80 9/7+49/40 3/21+49/40 15/7+49/40 3/35+49/40 21/7+49/40 3/49+49/40