Add 8/12 and 12/27
8/12 + 12/27 is 10/9.
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,
12/27 = 12 × 4/27 × 4 = 48/108 - Add the two like fractions:
72/108 + 48/108 = 72 + 48/108 = 120/108 - 120/108 simplified gives 10/9
- So, 8/12 + 12/27 = 10/9
In mixed form: 11/9
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