Add 14/21 and 42/54
14/21 + 42/54 is 13/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 54 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 21 × 18 = 378,
14/21 = 14 × 18/21 × 18 = 252/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
42/54 = 42 × 7/54 × 7 = 294/378 - Add the two like fractions:
252/378 + 294/378 = 252 + 294/378 = 546/378 - 546/378 simplified gives 13/9
- So, 14/21 + 42/54 = 13/9
In mixed form: 14/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/21+42/54 14/21+84/54 14/42+42/54 42/21+42/54 14/63+42/54 70/21+42/54 98/21+42/54