Compare 7/54 and 16/42
7/54 is smaller than 16/42
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,
7/54 = 7 × 7/54 × 7 = 49/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
16/42 = 16 × 9/42 × 9 = 144/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 49/378 < 144/378 or 7/54 < 16/42
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