Add 18/27 and 35/42
18/27 + 35/42 is 3/2.
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,
35/42 = 35 × 9/42 × 9 = 315/378 - Add the two like fractions:
252/378 + 315/378 = 252 + 315/378 = 567/378 - 567/378 simplified gives 3/2
- So, 18/27 + 35/42 = 3/2
In mixed form: 11/2
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 36/27+35/42 18/27+70/42 18/54+35/42 18/27+35/84 54/27+35/42 18/81+35/42 90/27+35/42