Add 8/27 and 21/42
8/27 + 21/42 is 43/54.
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,
8/27 = 8 × 14/27 × 14 = 112/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
21/42 = 21 × 9/42 × 9 = 189/378 - Add the two like fractions:
112/378 + 189/378 = 112 + 189/378 = 301/378 - 301/378 simplified gives 43/54
- So, 8/27 + 21/42 = 43/54
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