Add 75/42 and 1/54
1st number: 1 33/42, 2nd number: 1/54
75/42 + 1/54 is 341/189.
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,
75/42 = 75 × 9/42 × 9 = 675/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
1/54 = 1 × 7/54 × 7 = 7/378 - Add the two like fractions:
675/378 + 7/378 = 675 + 7/378 = 682/378 - 682/378 simplified gives 341/189
- So, 75/42 + 1/54 = 341/189
In mixed form: 1152/189
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