Add 42/54 and 35/21
1st number: 42/54, 2nd number: 1 14/21
42/54 + 35/21 is 22/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 21 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 54 × 7 = 378,
42/54 = 42 × 7/54 × 7 = 294/378 - Likewise, for the 2nd fraction, since 21 × 18 = 378,
35/21 = 35 × 18/21 × 18 = 630/378 - Add the two like fractions:
294/378 + 630/378 = 294 + 630/378 = 924/378 - 924/378 simplified gives 22/9
- So, 42/54 + 35/21 = 22/9
In mixed form: 24/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/54+35/21 42/54+70/21 42/54+35/42 42/54+35/63