Add 27/42 and 49/54
27/42 + 49/54 is 293/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 54 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 42 × 9 = 378,
27/42 = 27 × 9/42 × 9 = 243/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
49/54 = 49 × 7/54 × 7 = 343/378 - Add the two like fractions:
243/378 + 343/378 = 243 + 343/378 = 586/378 - 586/378 simplified gives 293/189
- So, 27/42 + 49/54 = 293/189
In mixed form: 1104/189
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