Add 56/9 and 21/42
1st number: 6 2/9, 2nd number: 21/42
56/9 + 21/42 is 121/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 42 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 9 × 14 = 126,
56/9 = 56 × 14/9 × 14 = 784/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
21/42 = 21 × 3/42 × 3 = 63/126 - Add the two like fractions:
784/126 + 63/126 = 784 + 63/126 = 847/126 - 847/126 simplified gives 121/18
- So, 56/9 + 21/42 = 121/18
In mixed form: 613/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 56/18+21/42 56/9+21/84 56/9+63/42 56/27+21/42 56/45+21/42 56/63+21/42