Add 35/12 and 45/28
1st number: 2 11/12, 2nd number: 1 17/28
35/12 + 45/28 is 95/21.
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,
35/12 = 35 × 7/12 × 7 = 245/84 - Likewise, for the 2nd fraction, since 28 × 3 = 84,
45/28 = 45 × 3/28 × 3 = 135/84 - Add the two like fractions:
245/84 + 135/84 = 245 + 135/84 = 380/84 - 380/84 simplified gives 95/21
- So, 35/12 + 45/28 = 95/21
In mixed form: 411/21
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