Add 2/27 and 35/63
2/27 + 35/63 is 17/27.
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,
2/27 = 2 × 7/27 × 7 = 14/189 - Likewise, for the 2nd fraction, since 63 × 3 = 189,
35/63 = 35 × 3/63 × 3 = 105/189 - Add the two like fractions:
14/189 + 105/189 = 14 + 105/189 = 119/189 - 119/189 simplified gives 17/27
- So, 2/27 + 35/63 = 17/27
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