Compare 6/25 and 42/81
6/25 is smaller than 42/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 81 is 2025
Next, find the equivalent fraction of both fractional numbers with denominator 2025 - For the 1st fraction, since 25 × 81 = 2025,
6/25 = 6 × 81/25 × 81 = 486/2025 - Likewise, for the 2nd fraction, since 81 × 25 = 2025,
42/81 = 42 × 25/81 × 25 = 1050/2025 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 486/2025 < 1050/2025 or 6/25 < 42/81
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