Add 42/27 and 30/14
1st number: 1 15/27, 2nd number: 2 2/14
42/27 + 30/14 is 233/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 14 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 27 × 14 = 378,
42/27 = 42 × 14/27 × 14 = 588/378 - Likewise, for the 2nd fraction, since 14 × 27 = 378,
30/14 = 30 × 27/14 × 27 = 810/378 - Add the two like fractions:
588/378 + 810/378 = 588 + 810/378 = 1398/378 - 1398/378 simplified gives 233/63
- So, 42/27 + 30/14 = 233/63
In mixed form: 344/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/27+30/14 42/27+60/14 42/54+30/14 42/27+30/28 42/27+90/14 42/81+30/14 42/27+30/42 42/27+30/70 42/27+30/98