Add 21/9 and 18/14
1st number: 2 3/9, 2nd number: 1 4/14
21/9 + 18/14 is 76/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 14 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 9 × 14 = 126,
21/9 = 21 × 14/9 × 14 = 294/126 - Likewise, for the 2nd fraction, since 14 × 9 = 126,
18/14 = 18 × 9/14 × 9 = 162/126 - Add the two like fractions:
294/126 + 162/126 = 294 + 162/126 = 456/126 - 456/126 simplified gives 76/21
- So, 21/9 + 18/14 = 76/21
In mixed form: 313/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/9+18/14 21/9+36/14 21/18+18/14 21/9+18/28 63/9+18/14 21/9+54/14 21/27+18/14 21/9+18/42 21/9+90/14 21/45+18/14 21/9+18/70 21/63+18/14 21/9+18/98