Add 27/36 and 28/35
27/36 + 28/35 is 31/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 35 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 36 × 35 = 1260,
27/36 = 27 × 35/36 × 35 = 945/1260 - Likewise, for the 2nd fraction, since 35 × 36 = 1260,
28/35 = 28 × 36/35 × 36 = 1008/1260 - Add the two like fractions:
945/1260 + 1008/1260 = 945 + 1008/1260 = 1953/1260 - 1953/1260 simplified gives 31/20
- So, 27/36 + 28/35 = 31/20
In mixed form: 111/20
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