Add 9/7 and 40/27
1st number: 1 2/7, 2nd number: 1 13/27
9/7 + 40/27 is 523/189.
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,
9/7 = 9 × 27/7 × 27 = 243/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
40/27 = 40 × 7/27 × 7 = 280/189 - Add the two like fractions:
243/189 + 280/189 = 243 + 280/189 = 523/189 - So, 9/7 + 40/27 = 523/189
In mixed form: 2145/189
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