Compare 2/30 and 15/54
2/30 is smaller than 15/54
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,
2/30 = 2 × 9/30 × 9 = 18/270 - Likewise, for the 2nd fraction, since 54 × 5 = 270,
15/54 = 15 × 5/54 × 5 = 75/270 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 18/270 < 75/270 or 2/30 < 15/54
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