Compare 3/5 and 45/54
3/5 is smaller than 45/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 54 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 5 × 54 = 270,
3/5 = 3 × 54/5 × 54 = 162/270 - Likewise, for the 2nd fraction, since 54 × 5 = 270,
45/54 = 45 × 5/54 × 5 = 225/270 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 162/270 < 225/270 or 3/5 < 45/54
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