Add 21/27 and 48/63
21/27 + 48/63 is 97/63.
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,
21/27 = 21 × 7/27 × 7 = 147/189 - Likewise, for the 2nd fraction, since 63 × 3 = 189,
48/63 = 48 × 3/63 × 3 = 144/189 - Add the two like fractions:
147/189 + 144/189 = 147 + 144/189 = 291/189 - 291/189 simplified gives 97/63
- So, 21/27 + 48/63 = 97/63
In mixed form: 134/63
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