Add 40/14 and 56/27
1st number: 2 12/14, 2nd number: 2 2/27
40/14 + 56/27 is 932/189.
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,
56/27 = 56 × 14/27 × 14 = 784/378 - Add the two like fractions:
1080/378 + 784/378 = 1080 + 784/378 = 1864/378 - 1864/378 simplified gives 932/189
- So, 40/14 + 56/27 = 932/189
In mixed form: 4176/189
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