Add 35/27 and 84/63
1st number: 1 8/27, 2nd number: 1 21/63
35/27 + 84/63 is 71/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 63 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 27 × 7 = 189,
35/27 = 35 × 7/27 × 7 = 245/189 - Likewise, for the 2nd fraction, since 63 × 3 = 189,
84/63 = 84 × 3/63 × 3 = 252/189 - Add the two like fractions:
245/189 + 252/189 = 245 + 252/189 = 497/189 - 497/189 simplified gives 71/27
- So, 35/27 + 84/63 = 71/27
In mixed form: 217/27
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