Add 27/40 and 21/54
27/40 + 21/54 is 383/360.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 54 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 40 × 27 = 1080,
27/40 = 27 × 27/40 × 27 = 729/1080 - Likewise, for the 2nd fraction, since 54 × 20 = 1080,
21/54 = 21 × 20/54 × 20 = 420/1080 - Add the two like fractions:
729/1080 + 420/1080 = 729 + 420/1080 = 1149/1080 - 1149/1080 simplified gives 383/360
- So, 27/40 + 21/54 = 383/360
In mixed form: 123/360
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