Compare 3/75 and 10/81
3/75 is smaller than 10/81
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,
3/75 = 3 × 27/75 × 27 = 81/2025 - Likewise, for the 2nd fraction, since 81 × 25 = 2025,
10/81 = 10 × 25/81 × 25 = 250/2025 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 81/2025 < 250/2025 or 3/75 < 10/81
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