Add 14/15 and 7/24
14/15 + 7/24 is 49/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 24 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 15 × 8 = 120,
14/15 = 14 × 8/15 × 8 = 112/120 - Likewise, for the 2nd fraction, since 24 × 5 = 120,
7/24 = 7 × 5/24 × 5 = 35/120 - Add the two like fractions:
112/120 + 35/120 = 112 + 35/120 = 147/120 - 147/120 simplified gives 49/40
- So, 14/15 + 7/24 = 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: 28/15+7/24 14/15+14/24 14/30+7/24 14/15+7/48 42/15+7/24 14/15+21/24 14/45+7/24 14/15+7/72 70/15+7/24 14/15+35/24 14/75+7/24 98/15+7/24 14/15+49/24