Add 40/72 and 18/27
40/72 + 18/27 is 11/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 27 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 72 × 3 = 216,
40/72 = 40 × 3/72 × 3 = 120/216 - Likewise, for the 2nd fraction, since 27 × 8 = 216,
18/27 = 18 × 8/27 × 8 = 144/216 - Add the two like fractions:
120/216 + 144/216 = 120 + 144/216 = 264/216 - 264/216 simplified gives 11/9
- So, 40/72 + 18/27 = 11/9
In mixed form: 12/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/72+18/27 40/72+36/27 40/72+18/54 40/72+54/27 40/72+18/81 40/72+90/27