Add 21/27 and 40/63
21/27 + 40/63 is 89/63.
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,
40/63 = 40 × 3/63 × 3 = 120/189 - Add the two like fractions:
147/189 + 120/189 = 147 + 120/189 = 267/189 - 267/189 simplified gives 89/63
- So, 21/27 + 40/63 = 89/63
In mixed form: 126/63
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