Add 30/14 and 21/24
1st number: 2 2/14, 2nd number: 21/24
30/14 + 21/24 is 169/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 24 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 14 × 12 = 168,
30/14 = 30 × 12/14 × 12 = 360/168 - Likewise, for the 2nd fraction, since 24 × 7 = 168,
21/24 = 21 × 7/24 × 7 = 147/168 - Add the two like fractions:
360/168 + 147/168 = 360 + 147/168 = 507/168 - 507/168 simplified gives 169/56
- So, 30/14 + 21/24 = 169/56
In mixed form: 31/56
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/14+21/24 30/14+42/24 30/28+21/24 30/14+21/48 90/14+21/24 30/14+63/24 30/42+21/24 30/14+21/72 30/70+21/24 30/98+21/24