Add 27/42 and 20/27
27/42 + 20/27 is 523/378.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 42 × 9 = 378,
27/42 = 27 × 9/42 × 9 = 243/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
20/27 = 20 × 14/27 × 14 = 280/378 - Add the two like fractions:
243/378 + 280/378 = 243 + 280/378 = 523/378 - So, 27/42 + 20/27 = 523/378
In mixed form: 1145/378
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