Add 14/42 and 21/27
14/42 + 21/27 is 10/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 42 × 9 = 378,
14/42 = 14 × 9/42 × 9 = 126/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
21/27 = 21 × 14/27 × 14 = 294/378 - Add the two like fractions:
126/378 + 294/378 = 126 + 294/378 = 420/378 - 420/378 simplified gives 10/9
- So, 14/42 + 21/27 = 10/9
In mixed form: 11/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/42+21/27 14/42+42/27 14/84+21/27 14/42+21/54 14/42+63/27 14/42+21/81 70/42+21/27 98/42+21/27