Compare 84/54 and 75/42
1st number: 1 30/54, 2nd number: 1 33/42
84/54 is smaller than 75/42
Steps for comparing 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 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 588/378 < 675/378 or 84/54 < 75/42
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