Add 3/42 and 49/54
3/42 + 49/54 is 185/189.
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,
3/42 = 3 × 9/42 × 9 = 27/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
49/54 = 49 × 7/54 × 7 = 343/378 - Add the two like fractions:
27/378 + 343/378 = 27 + 343/378 = 370/378 - 370/378 simplified gives 185/189
- So, 3/42 + 49/54 = 185/189
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