Add 7/20 and 21/24
7/20 + 21/24 is 49/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 24 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 20 × 6 = 120,
7/20 = 7 × 6/20 × 6 = 42/120 - Likewise, for the 2nd fraction, since 24 × 5 = 120,
21/24 = 21 × 5/24 × 5 = 105/120 - Add the two like fractions:
42/120 + 105/120 = 42 + 105/120 = 147/120 - 147/120 simplified gives 49/40
- So, 7/20 + 21/24 = 49/40
In mixed form: 19/40
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/20+21/24 7/20+42/24 7/40+21/24 7/20+21/48 21/20+21/24 7/20+63/24 7/60+21/24 7/20+21/72 35/20+21/24 49/20+21/24