Add 35/84 and 21/8
1st number: 35/84, 2nd number: 2 5/8
35/84 + 21/8 is 73/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 8 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 84 × 2 = 168,
35/84 = 35 × 2/84 × 2 = 70/168 - Likewise, for the 2nd fraction, since 8 × 21 = 168,
21/8 = 21 × 21/8 × 21 = 441/168 - Add the two like fractions:
70/168 + 441/168 = 70 + 441/168 = 511/168 - 511/168 simplified gives 73/24
- So, 35/84 + 21/8 = 73/24
In mixed form: 31/24
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