Compare 30/81 and 5/75
30/81 is greater than 5/75
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,
30/81 = 30 × 25/81 × 25 = 750/2025 - Likewise, for the 2nd fraction, since 75 × 27 = 2025,
5/75 = 5 × 27/75 × 27 = 135/2025 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 750/2025 > 135/2025 or 30/81 > 5/75
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