Add 45/18 and 56/21
1st number: 2 9/18, 2nd number: 2 14/21
45/18 + 56/21 is 31/6.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 21 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 18 × 7 = 126,
45/18 = 45 × 7/18 × 7 = 315/126 - Likewise, for the 2nd fraction, since 21 × 6 = 126,
56/21 = 56 × 6/21 × 6 = 336/126 - Add the two like fractions:
315/126 + 336/126 = 315 + 336/126 = 651/126 - 651/126 simplified gives 31/6
- So, 45/18 + 56/21 = 31/6
In mixed form: 51/6
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/18+56/21 45/36+56/21 45/18+56/42 45/54+56/21 45/18+56/63 45/90+56/21