Add 7/42 and 42/27
1st number: 7/42, 2nd number: 1 15/27
7/42 + 42/27 is 31/18.
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,
7/42 = 7 × 9/42 × 9 = 63/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
42/27 = 42 × 14/27 × 14 = 588/378 - Add the two like fractions:
63/378 + 588/378 = 63 + 588/378 = 651/378 - 651/378 simplified gives 31/18
- So, 7/42 + 42/27 = 31/18
In mixed form: 113/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/42+42/27 7/42+84/27 7/84+42/27 7/42+42/54 21/42+42/27 7/42+42/81 35/42+42/27 49/42+42/27