Add 36/27 and 21/12
1st number: 1 9/27, 2nd number: 1 9/12
36/27 + 21/12 is 37/12.
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,
36/27 = 36 × 4/27 × 4 = 144/108 - Likewise, for the 2nd fraction, since 12 × 9 = 108,
21/12 = 21 × 9/12 × 9 = 189/108 - Add the two like fractions:
144/108 + 189/108 = 144 + 189/108 = 333/108 - 333/108 simplified gives 37/12
- So, 36/27 + 21/12 = 37/12
In mixed form: 31/12
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