Add 12/27 and 7/12
12/27 + 7/12 is 37/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 12 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 27 × 4 = 108,
12/27 = 12 × 4/27 × 4 = 48/108 - Likewise, for the 2nd fraction, since 12 × 9 = 108,
7/12 = 7 × 9/12 × 9 = 63/108 - Add the two like fractions:
48/108 + 63/108 = 48 + 63/108 = 111/108 - 111/108 simplified gives 37/36
- So, 12/27 + 7/12 = 37/36
In mixed form: 11/36
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