Add 12/27 and 42/63
12/27 + 42/63 is 10/9.
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,
12/27 = 12 × 7/27 × 7 = 84/189 - Likewise, for the 2nd fraction, since 63 × 3 = 189,
42/63 = 42 × 3/63 × 3 = 126/189 - Add the two like fractions:
84/189 + 126/189 = 84 + 126/189 = 210/189 - 210/189 simplified gives 10/9
- So, 12/27 + 42/63 = 10/9
In mixed form: 11/9
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