Compare 30/54 and 2/3
30/54 is smaller than 2/3
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 3 is 54
Next, find the equivalent fraction of both fractional numbers with denominator 54 - For the 1st fraction, since 54 × 1 = 54,
30/54 = 30 × 1/54 × 1 = 30/54 - Likewise, for the 2nd fraction, since 3 × 18 = 54,
2/3 = 2 × 18/3 × 18 = 36/54 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/54 < 36/54 or 30/54 < 2/3
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