Compare 3/30 and 30/54
3/30 is smaller than 30/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 54 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 30 × 9 = 270,
3/30 = 3 × 9/30 × 9 = 27/270 - Likewise, for the 2nd fraction, since 54 × 5 = 270,
30/54 = 30 × 5/54 × 5 = 150/270 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 27/270 < 150/270 or 3/30 < 30/54
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