Add 10/27 and 15/40
10/27 + 15/40 is 161/216.
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,
10/27 = 10 × 40/27 × 40 = 400/1080 - Likewise, for the 2nd fraction, since 40 × 27 = 1080,
15/40 = 15 × 27/40 × 27 = 405/1080 - Add the two like fractions:
400/1080 + 405/1080 = 400 + 405/1080 = 805/1080 - 805/1080 simplified gives 161/216
- So, 10/27 + 15/40 = 161/216
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