Answers

Compare 30/54 and 45/75

30/54 is smaller than 45/75

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 54 and 75 is 1350
   
   Next, find the equivalent fraction of both fractional numbers with denominator 1350
2. For the 1st fraction, since 54 × 25 = 1350,
   30/54 = 30 × 25/54 × 25 = 750/1350
3. Likewise, for the 2nd fraction, since 75 × 18 = 1350,
   45/75 = 45 × 18/75 × 18 = 810/1350
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 750/1350 < 810/1350 or 30/54 < 45/75

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