Add 7/27 and 42/56
7/27 + 42/56 is 109/108.
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,
7/27 = 7 × 56/27 × 56 = 392/1512 - Likewise, for the 2nd fraction, since 56 × 27 = 1512,
42/56 = 42 × 27/56 × 27 = 1134/1512 - Add the two like fractions:
392/1512 + 1134/1512 = 392 + 1134/1512 = 1526/1512 - 1526/1512 simplified gives 109/108
- So, 7/27 + 42/56 = 109/108
In mixed form: 11/108
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