Answers

Compare 9/75 and 4/81

9/75 is greater than 4/81

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 75 and 81 is 2025
   
   Next, find the equivalent fraction of both fractional numbers with denominator 2025
2. For the 1st fraction, since 75 × 27 = 2025,
   9/75 = 9 × 27/75 × 27 = 243/2025
3. Likewise, for the 2nd fraction, since 81 × 25 = 2025,
   4/81 = 4 × 25/81 × 25 = 100/2025
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 243/2025 > 100/2025 or 9/75 > 4/81

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