Add 27/42 and 21/30
27/42 + 21/30 is 47/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 42 × 5 = 210,
27/42 = 27 × 5/42 × 5 = 135/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
21/30 = 21 × 7/30 × 7 = 147/210 - Add the two like fractions:
135/210 + 147/210 = 135 + 147/210 = 282/210 - 282/210 simplified gives 47/35
- So, 27/42 + 21/30 = 47/35
In mixed form: 112/35
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/42+21/30 27/42+42/30 27/84+21/30 27/42+21/60 81/42+21/30 27/42+63/30 27/42+21/90