Add 45/42 and 42/27
1st number: 1 3/42, 2nd number: 1 15/27
45/42 + 42/27 is 331/126.
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,
45/42 = 45 × 9/42 × 9 = 405/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
42/27 = 42 × 14/27 × 14 = 588/378 - Add the two like fractions:
405/378 + 588/378 = 405 + 588/378 = 993/378 - 993/378 simplified gives 331/126
- So, 45/42 + 42/27 = 331/126
In mixed form: 279/126
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/42+42/27 45/42+84/27 45/84+42/27 45/42+42/54 45/42+42/81