Compare 10/54 and 6/21
10/54 is smaller than 6/21
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,
10/54 = 10 × 7/54 × 7 = 70/378 - Likewise, for the 2nd fraction, since 21 × 18 = 378,
6/21 = 6 × 18/21 × 18 = 108/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 70/378 < 108/378 or 10/54 < 6/21
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