Add 8/27 and 30/40
8/27 + 30/40 is 113/108.
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,
8/27 = 8 × 40/27 × 40 = 320/1080 - Likewise, for the 2nd fraction, since 40 × 27 = 1080,
30/40 = 30 × 27/40 × 27 = 810/1080 - Add the two like fractions:
320/1080 + 810/1080 = 320 + 810/1080 = 1130/1080 - 1130/1080 simplified gives 113/108
- So, 8/27 + 30/40 = 113/108
In mixed form: 15/108
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