Add 14/24 and 7/9
14/24 + 7/9 is 49/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 9 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 24 × 3 = 72,
14/24 = 14 × 3/24 × 3 = 42/72 - Likewise, for the 2nd fraction, since 9 × 8 = 72,
7/9 = 7 × 8/9 × 8 = 56/72 - Add the two like fractions:
42/72 + 56/72 = 42 + 56/72 = 98/72 - 98/72 simplified gives 49/36
- So, 14/24 + 7/9 = 49/36
In mixed form: 113/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/24+7/9 14/24+14/9 14/48+7/9 14/24+7/18 42/24+7/9 14/24+21/9 14/72+7/9 14/24+7/27 70/24+7/9 14/24+35/9 14/24+7/45 98/24+7/9 14/24+49/9 14/24+7/63