Add 24/27 and 21/40
24/27 + 21/40 is 509/360.
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,
24/27 = 24 × 40/27 × 40 = 960/1080 - Likewise, for the 2nd fraction, since 40 × 27 = 1080,
21/40 = 21 × 27/40 × 27 = 567/1080 - Add the two like fractions:
960/1080 + 567/1080 = 960 + 567/1080 = 1527/1080 - 1527/1080 simplified gives 509/360
- So, 24/27 + 21/40 = 509/360
In mixed form: 1149/360
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 48/27+21/40 24/27+42/40 24/54+21/40 24/27+21/80 72/27+21/40 24/27+63/40 24/81+21/40