Compare 6/81 and 7/75
6/81 is smaller than 7/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 75 is 2025
Next, find the equivalent fraction of both fractional numbers with denominator 2025 - For the 1st fraction, since 81 × 25 = 2025,
6/81 = 6 × 25/81 × 25 = 150/2025 - Likewise, for the 2nd fraction, since 75 × 27 = 2025,
7/75 = 7 × 27/75 × 27 = 189/2025 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/2025 < 189/2025 or 6/81 < 7/75
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