Add 35/12 and 30/27
1st number: 2 11/12, 2nd number: 1 3/27
35/12 + 30/27 is 145/36.
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,
35/12 = 35 × 9/12 × 9 = 315/108 - Likewise, for the 2nd fraction, since 27 × 4 = 108,
30/27 = 30 × 4/27 × 4 = 120/108 - Add the two like fractions:
315/108 + 120/108 = 315 + 120/108 = 435/108 - 435/108 simplified gives 145/36
- So, 35/12 + 30/27 = 145/36
In mixed form: 41/36
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