Add 20/27 and 49/63
20/27 + 49/63 is 41/27.
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,
49/63 = 49 × 3/63 × 3 = 147/189 - Add the two like fractions:
140/189 + 147/189 = 140 + 147/189 = 287/189 - 287/189 simplified gives 41/27
- So, 20/27 + 49/63 = 41/27
In mixed form: 114/27
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