Add 54/40 and 40/27
1st number: 1 14/40, 2nd number: 1 13/27
54/40 + 40/27 is 1529/540.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 27 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 40 × 27 = 1080,
54/40 = 54 × 27/40 × 27 = 1458/1080 - Likewise, for the 2nd fraction, since 27 × 40 = 1080,
40/27 = 40 × 40/27 × 40 = 1600/1080 - Add the two like fractions:
1458/1080 + 1600/1080 = 1458 + 1600/1080 = 3058/1080 - 3058/1080 simplified gives 1529/540
- So, 54/40 + 40/27 = 1529/540
In mixed form: 2449/540
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/40+80/27 54/80+40/27 54/40+40/54 54/40+40/81