Add 40/9 and 14/24
1st number: 4 4/9, 2nd number: 14/24
40/9 + 14/24 is 181/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 24 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 9 × 8 = 72,
40/9 = 40 × 8/9 × 8 = 320/72 - Likewise, for the 2nd fraction, since 24 × 3 = 72,
14/24 = 14 × 3/24 × 3 = 42/72 - Add the two like fractions:
320/72 + 42/72 = 320 + 42/72 = 362/72 - 362/72 simplified gives 181/36
- So, 40/9 + 14/24 = 181/36
In mixed form: 51/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/9+14/24 40/9+28/24 40/18+14/24 40/9+14/48 40/9+42/24 40/27+14/24 40/9+14/72 40/9+70/24 40/45+14/24 40/9+98/24 40/63+14/24