Compare 3/60 and 45/54
3/60 is smaller than 45/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 54 is 540
Next, find the equivalent fraction of both fractional numbers with denominator 540 - For the 1st fraction, since 60 × 9 = 540,
3/60 = 3 × 9/60 × 9 = 27/540 - 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
- 27/540 < 450/540 or 3/60 < 45/54
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