Compare 8/54 and 8/21
8/54 is smaller than 8/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 21 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 54 × 7 = 378,
8/54 = 8 × 7/54 × 7 = 56/378 - Likewise, for the 2nd fraction, since 21 × 18 = 378,
8/21 = 8 × 18/21 × 18 = 144/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 56/378 < 144/378 or 8/54 < 8/21
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