Add 21/42 and 2/27
21/42 + 2/27 is 31/54.
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,
21/42 = 21 × 9/42 × 9 = 189/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
2/27 = 2 × 14/27 × 14 = 28/378 - Add the two like fractions:
189/378 + 28/378 = 189 + 28/378 = 217/378 - 217/378 simplified gives 31/54
- So, 21/42 + 2/27 = 31/54
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