Add 40/27 and 45/7
1st number: 1 13/27, 2nd number: 6 3/7
40/27 + 45/7 is 1495/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 7 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 27 × 7 = 189,
40/27 = 40 × 7/27 × 7 = 280/189 - Likewise, for the 2nd fraction, since 7 × 27 = 189,
45/7 = 45 × 27/7 × 27 = 1215/189 - Add the two like fractions:
280/189 + 1215/189 = 280 + 1215/189 = 1495/189 - So, 40/27 + 45/7 = 1495/189
In mixed form: 7172/189
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