Add 40/14 and 42/27
1st number: 2 12/14, 2nd number: 1 15/27
40/14 + 42/27 is 278/63.
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,
42/27 = 42 × 14/27 × 14 = 588/378 - Add the two like fractions:
1080/378 + 588/378 = 1080 + 588/378 = 1668/378 - 1668/378 simplified gives 278/63
- So, 40/14 + 42/27 = 278/63
In mixed form: 426/63
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