Compare 9/4 and 81/25
1st number: 2 1/4, 2nd number: 3 6/25
9/4 is smaller than 81/25
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 25 is 100
Next, find the equivalent fraction of both fractional numbers with denominator 100 - For the 1st fraction, since 4 × 25 = 100,
9/4 = 9 × 25/4 × 25 = 225/100 - Likewise, for the 2nd fraction, since 25 × 4 = 100,
81/25 = 81 × 4/25 × 4 = 324/100 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 225/100 < 324/100 or 9/4 < 81/25
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