Add 35/63 and 14/27
35/63 + 14/27 is 29/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 27 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 63 × 3 = 189,
35/63 = 35 × 3/63 × 3 = 105/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
14/27 = 14 × 7/27 × 7 = 98/189 - Add the two like fractions:
105/189 + 98/189 = 105 + 98/189 = 203/189 - 203/189 simplified gives 29/27
- So, 35/63 + 14/27 = 29/27
In mixed form: 12/27
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