Add 27/7 and 40/27
1st number: 3 6/7, 2nd number: 1 13/27
27/7 + 40/27 is 1009/189.
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,
27/7 = 27 × 27/7 × 27 = 729/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
40/27 = 40 × 7/27 × 7 = 280/189 - Add the two like fractions:
729/189 + 280/189 = 729 + 280/189 = 1009/189 - So, 27/7 + 40/27 = 1009/189
In mixed form: 564/189
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