Compare 10/21 and 45/54
10/21 is smaller than 45/54
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,
10/21 = 10 × 18/21 × 18 = 180/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
45/54 = 45 × 7/54 × 7 = 315/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/378 < 315/378 or 10/21 < 45/54
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