Compare 30/75 and 30/54
30/75 is smaller than 30/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 54 is 1350
Next, find the equivalent fraction of both fractional numbers with denominator 1350 - For the 1st fraction, since 75 × 18 = 1350,
30/75 = 30 × 18/75 × 18 = 540/1350 - Likewise, for the 2nd fraction, since 54 × 25 = 1350,
30/54 = 30 × 25/54 × 25 = 750/1350 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 540/1350 < 750/1350 or 30/75 < 30/54
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