Add 4/54 and 30/42
4/54 + 30/42 is 149/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 42 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 54 × 7 = 378,
4/54 = 4 × 7/54 × 7 = 28/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
30/42 = 30 × 9/42 × 9 = 270/378 - Add the two like fractions:
28/378 + 270/378 = 28 + 270/378 = 298/378 - 298/378 simplified gives 149/189
- So, 4/54 + 30/42 = 149/189
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