Compare 3/20 and 45/54
3/20 is smaller than 45/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 54 is 540
Next, find the equivalent fraction of both fractional numbers with denominator 540 - For the 1st fraction, since 20 × 27 = 540,
3/20 = 3 × 27/20 × 27 = 81/540 - Likewise, for the 2nd fraction, since 54 × 10 = 540,
45/54 = 45 × 10/54 × 10 = 450/540 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 81/540 < 450/540 or 3/20 < 45/54
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