Add 21/40 and 24/27
21/40 + 24/27 is 509/360.
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,
21/40 = 21 × 27/40 × 27 = 567/1080 - Likewise, for the 2nd fraction, since 27 × 40 = 1080,
24/27 = 24 × 40/27 × 40 = 960/1080 - Add the two like fractions:
567/1080 + 960/1080 = 567 + 960/1080 = 1527/1080 - 1527/1080 simplified gives 509/360
- So, 21/40 + 24/27 = 509/360
In mixed form: 1149/360
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