Add 40/12 and 35/84
1st number: 3 4/12, 2nd number: 35/84
40/12 + 35/84 is 15/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 84 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 12 × 7 = 84,
40/12 = 40 × 7/12 × 7 = 280/84 - Likewise, for the 2nd fraction, since 84 × 1 = 84,
35/84 = 35 × 1/84 × 1 = 35/84 - Add the two like fractions:
280/84 + 35/84 = 280 + 35/84 = 315/84 - 315/84 simplified gives 15/4
- So, 40/12 + 35/84 = 15/4
In mixed form: 33/4
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