Add 8/12 and 20/27
8/12 + 20/27 is 38/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 27 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 12 × 9 = 108,
8/12 = 8 × 9/12 × 9 = 72/108 - Likewise, for the 2nd fraction, since 27 × 4 = 108,
20/27 = 20 × 4/27 × 4 = 80/108 - Add the two like fractions:
72/108 + 80/108 = 72 + 80/108 = 152/108 - 152/108 simplified gives 38/27
- So, 8/12 + 20/27 = 38/27
In mixed form: 111/27
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