Add 75/42 and 35/54
1st number: 1 33/42, 2nd number: 35/54
75/42 + 35/54 is 460/189.
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,
35/54 = 35 × 7/54 × 7 = 245/378 - Add the two like fractions:
675/378 + 245/378 = 675 + 245/378 = 920/378 - 920/378 simplified gives 460/189
- So, 75/42 + 35/54 = 460/189
In mixed form: 282/189
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