Compare 8/42 and 15/54
8/42 is smaller than 15/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 54 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 42 × 9 = 378,
8/42 = 8 × 9/42 × 9 = 72/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
15/54 = 15 × 7/54 × 7 = 105/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 72/378 < 105/378 or 8/42 < 15/54
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