Add 40/9 and 10/24
1st number: 4 4/9, 2nd number: 10/24
40/9 + 10/24 is 175/36.
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,
10/24 = 10 × 3/24 × 3 = 30/72 - Add the two like fractions:
320/72 + 30/72 = 320 + 30/72 = 350/72 - 350/72 simplified gives 175/36
- So, 40/9 + 10/24 = 175/36
In mixed form: 431/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/9+10/24 40/9+20/24 40/18+10/24 40/9+10/48 40/9+30/24 40/27+10/24 40/9+10/72 40/9+50/24 40/45+10/24 40/9+70/24 40/63+10/24