Add 32/27 and 27/40
1st number: 1 5/27, 2nd number: 27/40
32/27 + 27/40 is 2009/1080.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 40 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 27 × 40 = 1080,
32/27 = 32 × 40/27 × 40 = 1280/1080 - Likewise, for the 2nd fraction, since 40 × 27 = 1080,
27/40 = 27 × 27/40 × 27 = 729/1080 - Add the two like fractions:
1280/1080 + 729/1080 = 1280 + 729/1080 = 2009/1080 - So, 32/27 + 27/40 = 2009/1080
In mixed form: 1929/1080
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 64/27+27/40 32/27+54/40 32/54+27/40 32/27+27/80 96/27+27/40 32/27+81/40 32/81+27/40