Add 27/12 and 35/28
1st number: 2 3/12, 2nd number: 1 7/28
27/12 + 35/28 is 7/2.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 28 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 12 × 7 = 84,
27/12 = 27 × 7/12 × 7 = 189/84 - Likewise, for the 2nd fraction, since 28 × 3 = 84,
35/28 = 35 × 3/28 × 3 = 105/84 - Add the two like fractions:
189/84 + 105/84 = 189 + 105/84 = 294/84 - 294/84 simplified gives 7/2
- So, 27/12 + 35/28 = 7/2
In mixed form: 31/2
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