Add 9/14 and 21/18
1st number: 9/14, 2nd number: 1 3/18
9/14 + 21/18 is 38/21.
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,
9/14 = 9 × 9/14 × 9 = 81/126 - Likewise, for the 2nd fraction, since 18 × 7 = 126,
21/18 = 21 × 7/18 × 7 = 147/126 - Add the two like fractions:
81/126 + 147/126 = 81 + 147/126 = 228/126 - 228/126 simplified gives 38/21
- So, 9/14 + 21/18 = 38/21
In mixed form: 117/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/14+21/18 9/14+42/18 9/28+21/18 9/14+21/36 27/14+21/18 9/14+63/18 9/42+21/18 9/14+21/54 45/14+21/18 9/70+21/18 9/14+21/90 63/14+21/18 9/98+21/18