Add 16/12 and 35/27
1st number: 1 4/12, 2nd number: 1 8/27
16/12 + 35/27 is 71/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 27 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 12 × 9 = 108,
16/12 = 16 × 9/12 × 9 = 144/108 - Likewise, for the 2nd fraction, since 27 × 4 = 108,
35/27 = 35 × 4/27 × 4 = 140/108 - Add the two like fractions:
144/108 + 140/108 = 144 + 140/108 = 284/108 - 284/108 simplified gives 71/27
- So, 16/12 + 35/27 = 71/27
In mixed form: 217/27
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