Add 1/40 and 21/27
1/40 + 21/27 is 289/360.
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,
1/40 = 1 × 27/40 × 27 = 27/1080 - Likewise, for the 2nd fraction, since 27 × 40 = 1080,
21/27 = 21 × 40/27 × 40 = 840/1080 - Add the two like fractions:
27/1080 + 840/1080 = 27 + 840/1080 = 867/1080 - 867/1080 simplified gives 289/360
- So, 1/40 + 21/27 = 289/360
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