Add 40/96 and 7/9
40/96 + 7/9 is 43/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 9 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 96 × 3 = 288,
40/96 = 40 × 3/96 × 3 = 120/288 - Likewise, for the 2nd fraction, since 9 × 32 = 288,
7/9 = 7 × 32/9 × 32 = 224/288 - Add the two like fractions:
120/288 + 224/288 = 120 + 224/288 = 344/288 - 344/288 simplified gives 43/36
- So, 40/96 + 7/9 = 43/36
In mixed form: 17/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/96+7/9 40/96+14/9 40/96+7/18 40/96+21/9 40/96+7/27 40/96+35/9 40/96+7/45 40/96+49/9 40/96+7/63