Add 20/27 and 35/63
20/27 + 35/63 is 35/27.
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,
20/27 = 20 × 7/27 × 7 = 140/189 - Likewise, for the 2nd fraction, since 63 × 3 = 189,
35/63 = 35 × 3/63 × 3 = 105/189 - Add the two like fractions:
140/189 + 105/189 = 140 + 105/189 = 245/189 - 245/189 simplified gives 35/27
- So, 20/27 + 35/63 = 35/27
In mixed form: 18/27
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