Compare 45/54 and 9/42
45/54 is greater than 9/42
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,
45/54 = 45 × 7/54 × 7 = 315/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
9/42 = 9 × 9/42 × 9 = 81/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 315/378 > 81/378 or 45/54 > 9/42
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