Add 27/35 and 4/12
27/35 + 4/12 is 116/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 12 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 35 × 12 = 420,
27/35 = 27 × 12/35 × 12 = 324/420 - Likewise, for the 2nd fraction, since 12 × 35 = 420,
4/12 = 4 × 35/12 × 35 = 140/420 - Add the two like fractions:
324/420 + 140/420 = 324 + 140/420 = 464/420 - 464/420 simplified gives 116/105
- So, 27/35 + 4/12 = 116/105
In mixed form: 111/105
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