Add 12/27 and 42/56
12/27 + 42/56 is 43/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 56 is 1512
Next, find the equivalent fraction of both fractional numbers with denominator 1512 - For the 1st fraction, since 27 × 56 = 1512,
12/27 = 12 × 56/27 × 56 = 672/1512 - Likewise, for the 2nd fraction, since 56 × 27 = 1512,
42/56 = 42 × 27/56 × 27 = 1134/1512 - Add the two like fractions:
672/1512 + 1134/1512 = 672 + 1134/1512 = 1806/1512 - 1806/1512 simplified gives 43/36
- So, 12/27 + 42/56 = 43/36
In mixed form: 17/36
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