Add 84/54 and 75/42
1st number: 1 30/54, 2nd number: 1 33/42
84/54 + 75/42 is 421/126.
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,
84/54 = 84 × 7/54 × 7 = 588/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
75/42 = 75 × 9/42 × 9 = 675/378 - Add the two like fractions:
588/378 + 675/378 = 588 + 675/378 = 1263/378 - 1263/378 simplified gives 421/126
- So, 84/54 + 75/42 = 421/126
In mixed form: 343/126
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