Add 8/3 and 35/49
1st number: 2 2/3, 2nd number: 35/49
8/3 + 35/49 is 71/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 49 is 147
Next, find the equivalent fraction of both fractional numbers with denominator 147 - For the 1st fraction, since 3 × 49 = 147,
8/3 = 8 × 49/3 × 49 = 392/147 - Likewise, for the 2nd fraction, since 49 × 3 = 147,
35/49 = 35 × 3/49 × 3 = 105/147 - Add the two like fractions:
392/147 + 105/147 = 392 + 105/147 = 497/147 - 497/147 simplified gives 71/21
- So, 8/3 + 35/49 = 71/21
In mixed form: 38/21
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