Add 8/3 and 35/84
1st number: 2 2/3, 2nd number: 35/84
8/3 + 35/84 is 37/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 84 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 3 × 28 = 84,
8/3 = 8 × 28/3 × 28 = 224/84 - Likewise, for the 2nd fraction, since 84 × 1 = 84,
35/84 = 35 × 1/84 × 1 = 35/84 - Add the two like fractions:
224/84 + 35/84 = 224 + 35/84 = 259/84 - 259/84 simplified gives 37/12
- So, 8/3 + 35/84 = 37/12
In mixed form: 31/12
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