Compare 15/54 and 30/42
15/54 is smaller than 30/42
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,
15/54 = 15 × 7/54 × 7 = 105/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
30/42 = 30 × 9/42 × 9 = 270/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/378 < 270/378 or 15/54 < 30/42
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