Add 4/7 and 12/27
4/7 + 12/27 is 64/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 27 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 7 × 27 = 189,
4/7 = 4 × 27/7 × 27 = 108/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
12/27 = 12 × 7/27 × 7 = 84/189 - Add the two like fractions:
108/189 + 84/189 = 108 + 84/189 = 192/189 - 192/189 simplified gives 64/63
- So, 4/7 + 12/27 = 64/63
In mixed form: 11/63
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