Add 7/27 and 30/40
7/27 + 30/40 is 109/108.
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,
7/27 = 7 × 40/27 × 40 = 280/1080 - Likewise, for the 2nd fraction, since 40 × 27 = 1080,
30/40 = 30 × 27/40 × 27 = 810/1080 - Add the two like fractions:
280/1080 + 810/1080 = 280 + 810/1080 = 1090/1080 - 1090/1080 simplified gives 109/108
- So, 7/27 + 30/40 = 109/108
In mixed form: 11/108
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