Add 18/27 and 30/42
18/27 + 30/42 is 29/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 42 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 27 × 14 = 378,
18/27 = 18 × 14/27 × 14 = 252/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
30/42 = 30 × 9/42 × 9 = 270/378 - Add the two like fractions:
252/378 + 270/378 = 252 + 270/378 = 522/378 - 522/378 simplified gives 29/21
- So, 18/27 + 30/42 = 29/21
In mixed form: 18/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 36/27+30/42 18/27+60/42 18/54+30/42 18/27+30/84 54/27+30/42 18/27+90/42 18/81+30/42 90/27+30/42