Add 8/3 and 30/84
1st number: 2 2/3, 2nd number: 30/84
8/3 + 30/84 is 127/42.
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,
30/84 = 30 × 1/84 × 1 = 30/84 - Add the two like fractions:
224/84 + 30/84 = 224 + 30/84 = 254/84 - 254/84 simplified gives 127/42
- So, 8/3 + 30/84 = 127/42
In mixed form: 31/42
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