Add 30/42 and 21/24
30/42 + 21/24 is 89/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 24 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 42 × 4 = 168,
30/42 = 30 × 4/42 × 4 = 120/168 - Likewise, for the 2nd fraction, since 24 × 7 = 168,
21/24 = 21 × 7/24 × 7 = 147/168 - Add the two like fractions:
120/168 + 147/168 = 120 + 147/168 = 267/168 - 267/168 simplified gives 89/56
- So, 30/42 + 21/24 = 89/56
In mixed form: 133/56
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/42+21/24 30/42+42/24 30/84+21/24 30/42+21/48 90/42+21/24 30/42+63/24 30/42+21/72