Add 40/27 and 45/14
1st number: 1 13/27, 2nd number: 3 3/14
40/27 + 45/14 is 1775/378.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 14 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 27 × 14 = 378,
40/27 = 40 × 14/27 × 14 = 560/378 - Likewise, for the 2nd fraction, since 14 × 27 = 378,
45/14 = 45 × 27/14 × 27 = 1215/378 - Add the two like fractions:
560/378 + 1215/378 = 560 + 1215/378 = 1775/378 - So, 40/27 + 45/14 = 1775/378
In mixed form: 4263/378
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