Add 27/7 and 21/18
1st number: 3 6/7, 2nd number: 1 3/18
27/7 + 21/18 is 211/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 18 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 7 × 18 = 126,
27/7 = 27 × 18/7 × 18 = 486/126 - Likewise, for the 2nd fraction, since 18 × 7 = 126,
21/18 = 21 × 7/18 × 7 = 147/126 - Add the two like fractions:
486/126 + 147/126 = 486 + 147/126 = 633/126 - 633/126 simplified gives 211/42
- So, 27/7 + 21/18 = 211/42
In mixed form: 51/42
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/7+21/18 27/7+42/18 27/14+21/18 27/7+21/36 81/7+21/18 27/7+63/18 27/21+21/18 27/7+21/54 27/35+21/18 27/7+21/90 27/49+21/18