Add 40/14 and 8/27
1st number: 2 12/14, 2nd number: 8/27
40/14 + 8/27 is 596/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 14 × 27 = 378,
40/14 = 40 × 27/14 × 27 = 1080/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
8/27 = 8 × 14/27 × 14 = 112/378 - Add the two like fractions:
1080/378 + 112/378 = 1080 + 112/378 = 1192/378 - 1192/378 simplified gives 596/189
- So, 40/14 + 8/27 = 596/189
In mixed form: 329/189
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