Add 8/27 and 30/42
8/27 + 30/42 is 191/189.
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,
30/42 = 30 × 9/42 × 9 = 270/378 - Add the two like fractions:
112/378 + 270/378 = 112 + 270/378 = 382/378 - 382/378 simplified gives 191/189
- So, 8/27 + 30/42 = 191/189
In mixed form: 12/189
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