Add 30/42 and 15/20
30/42 + 15/20 is 41/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 20 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 42 × 10 = 420,
30/42 = 30 × 10/42 × 10 = 300/420 - Likewise, for the 2nd fraction, since 20 × 21 = 420,
15/20 = 15 × 21/20 × 21 = 315/420 - Add the two like fractions:
300/420 + 315/420 = 300 + 315/420 = 615/420 - 615/420 simplified gives 41/28
- So, 30/42 + 15/20 = 41/28
In mixed form: 113/28
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/42+15/20 30/42+30/20 30/84+15/20 30/42+15/40 90/42+15/20 30/42+45/20 30/42+15/60 30/42+75/20