Compare 30/75 and 63/81
30/75 is smaller than 63/81
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,
30/75 = 30 × 27/75 × 27 = 810/2025 - Likewise, for the 2nd fraction, since 81 × 25 = 2025,
63/81 = 63 × 25/81 × 25 = 1575/2025 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 810/2025 < 1575/2025 or 30/75 < 63/81
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