Add 9/14 and 21/27
9/14 + 21/27 is 179/126.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 14 × 27 = 378,
9/14 = 9 × 27/14 × 27 = 243/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
21/27 = 21 × 14/27 × 14 = 294/378 - Add the two like fractions:
243/378 + 294/378 = 243 + 294/378 = 537/378 - 537/378 simplified gives 179/126
- So, 9/14 + 21/27 = 179/126
In mixed form: 153/126
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/14+21/27 9/14+42/27 9/28+21/27 9/14+21/54 27/14+21/27 9/14+63/27 9/42+21/27 9/14+21/81 45/14+21/27 9/70+21/27 63/14+21/27 9/98+21/27