Add 27/36 and 36/45
27/36 + 36/45 is 31/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 45 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 36 × 5 = 180,
27/36 = 27 × 5/36 × 5 = 135/180 - Likewise, for the 2nd fraction, since 45 × 4 = 180,
36/45 = 36 × 4/45 × 4 = 144/180 - Add the two like fractions:
135/180 + 144/180 = 135 + 144/180 = 279/180 - 279/180 simplified gives 31/20
- So, 27/36 + 36/45 = 31/20
In mixed form: 111/20
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