Add 8/27 and 4/42
8/27 + 4/42 is 74/189.
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,
4/42 = 4 × 9/42 × 9 = 36/378 - Add the two like fractions:
112/378 + 36/378 = 112 + 36/378 = 148/378 - 148/378 simplified gives 74/189
- So, 8/27 + 4/42 = 74/189
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