Add 1/42 and 21/27
1/42 + 21/27 is 101/126.
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,
1/42 = 1 × 9/42 × 9 = 9/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
21/27 = 21 × 14/27 × 14 = 294/378 - Add the two like fractions:
9/378 + 294/378 = 9 + 294/378 = 303/378 - 303/378 simplified gives 101/126
- So, 1/42 + 21/27 = 101/126
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