Add 35/27 and 40/12
1st number: 1 8/27, 2nd number: 3 4/12
35/27 + 40/12 is 125/27.
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,
35/27 = 35 × 4/27 × 4 = 140/108 - Likewise, for the 2nd fraction, since 12 × 9 = 108,
40/12 = 40 × 9/12 × 9 = 360/108 - Add the two like fractions:
140/108 + 360/108 = 140 + 360/108 = 500/108 - 500/108 simplified gives 125/27
- So, 35/27 + 40/12 = 125/27
In mixed form: 417/27
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