Add 24/27 and 27/40
24/27 + 27/40 is 563/360.
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,
27/40 = 27 × 27/40 × 27 = 729/1080 - Add the two like fractions:
960/1080 + 729/1080 = 960 + 729/1080 = 1689/1080 - 1689/1080 simplified gives 563/360
- So, 24/27 + 27/40 = 563/360
In mixed form: 1203/360
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