Add 3/27 and 12/40
3/27 + 12/40 is 37/90.
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,
3/27 = 3 × 40/27 × 40 = 120/1080 - Likewise, for the 2nd fraction, since 40 × 27 = 1080,
12/40 = 12 × 27/40 × 27 = 324/1080 - Add the two like fractions:
120/1080 + 324/1080 = 120 + 324/1080 = 444/1080 - 444/1080 simplified gives 37/90
- So, 3/27 + 12/40 = 37/90
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