Add 18/14 and 21/18
1st number: 1 4/14, 2nd number: 1 3/18
18/14 + 21/18 is 103/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 18 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 14 × 9 = 126,
18/14 = 18 × 9/14 × 9 = 162/126 - Likewise, for the 2nd fraction, since 18 × 7 = 126,
21/18 = 21 × 7/18 × 7 = 147/126 - Add the two like fractions:
162/126 + 147/126 = 162 + 147/126 = 309/126 - 309/126 simplified gives 103/42
- So, 18/14 + 21/18 = 103/42
In mixed form: 219/42
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 36/14+21/18 18/14+42/18 18/28+21/18 18/14+21/36 54/14+21/18 18/14+63/18 18/42+21/18 18/14+21/54 90/14+21/18 18/70+21/18 18/14+21/90 18/98+21/18