Add 45/14 and 45/27
1st number: 3 3/14, 2nd number: 1 18/27
45/14 + 45/27 is 205/42.
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,
45/14 = 45 × 27/14 × 27 = 1215/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
45/27 = 45 × 14/27 × 14 = 630/378 - Add the two like fractions:
1215/378 + 630/378 = 1215 + 630/378 = 1845/378 - 1845/378 simplified gives 205/42
- So, 45/14 + 45/27 = 205/42
In mixed form: 437/42
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