Compare 10/75 and 9/81
10/75 is greater than 9/81
Steps for comparing fractions
- 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 - For the 1st fraction, since 75 × 27 = 2025,
10/75 = 10 × 27/75 × 27 = 270/2025 - Likewise, for the 2nd fraction, since 81 × 25 = 2025,
9/81 = 9 × 25/81 × 25 = 225/2025 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/2025 > 225/2025 or 10/75 > 9/81
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