Compare 15/21 and 15/54
15/21 is greater than 15/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 54 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 21 × 18 = 378,
15/21 = 15 × 18/21 × 18 = 270/378 - 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
- 270/378 > 105/378 or 15/21 > 15/54
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