Add 1/27 and 35/42
1/27 + 35/42 is 47/54.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 42 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 27 × 14 = 378,
1/27 = 1 × 14/27 × 14 = 14/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
35/42 = 35 × 9/42 × 9 = 315/378 - Add the two like fractions:
14/378 + 315/378 = 14 + 315/378 = 329/378 - 329/378 simplified gives 47/54
- So, 1/27 + 35/42 = 47/54
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