Add 40/36 and 56/21
1st number: 1 4/36, 2nd number: 2 14/21
40/36 + 56/21 is 34/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 21 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 36 × 7 = 252,
40/36 = 40 × 7/36 × 7 = 280/252 - Likewise, for the 2nd fraction, since 21 × 12 = 252,
56/21 = 56 × 12/21 × 12 = 672/252 - Add the two like fractions:
280/252 + 672/252 = 280 + 672/252 = 952/252 - 952/252 simplified gives 34/9
- So, 40/36 + 56/21 = 34/9
In mixed form: 37/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/36+56/21 40/72+56/21 40/36+56/42 40/36+56/63