Add 56/49 and 21/40
1st number: 1 7/49, 2nd number: 21/40
56/49 + 21/40 is 467/280.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 40 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 49 × 40 = 1960,
56/49 = 56 × 40/49 × 40 = 2240/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
21/40 = 21 × 49/40 × 49 = 1029/1960 - Add the two like fractions:
2240/1960 + 1029/1960 = 2240 + 1029/1960 = 3269/1960 - 3269/1960 simplified gives 467/280
- So, 56/49 + 21/40 = 467/280
In mixed form: 1187/280
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 56/49+42/40 56/98+21/40 56/49+21/80 56/49+63/40