Add 30/12 and 35/27
1st number: 2 6/12, 2nd number: 1 8/27
30/12 + 35/27 is 205/54.
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,
30/12 = 30 × 9/12 × 9 = 270/108 - Likewise, for the 2nd fraction, since 27 × 4 = 108,
35/27 = 35 × 4/27 × 4 = 140/108 - Add the two like fractions:
270/108 + 140/108 = 270 + 140/108 = 410/108 - 410/108 simplified gives 205/54
- So, 30/12 + 35/27 = 205/54
In mixed form: 343/54
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