Compare 60/75 and 21/81
60/75 is greater than 21/81
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,
60/75 = 60 × 27/75 × 27 = 1620/2025 - Likewise, for the 2nd fraction, since 81 × 25 = 2025,
21/81 = 21 × 25/81 × 25 = 525/2025 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1620/2025 > 525/2025 or 60/75 > 21/81
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