Add 40/15 and 56/49
1st number: 2 10/15, 2nd number: 1 7/49
40/15 + 56/49 is 80/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 49 is 735
Next, find the equivalent fraction of both fractional numbers with denominator 735 - For the 1st fraction, since 15 × 49 = 735,
40/15 = 40 × 49/15 × 49 = 1960/735 - Likewise, for the 2nd fraction, since 49 × 15 = 735,
56/49 = 56 × 15/49 × 15 = 840/735 - Add the two like fractions:
1960/735 + 840/735 = 1960 + 840/735 = 2800/735 - 2800/735 simplified gives 80/21
- So, 40/15 + 56/49 = 80/21
In mixed form: 317/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/15+56/49 40/30+56/49 40/15+56/98 40/45+56/49 40/75+56/49