Compare 8/81 and 9/4
1st number: 8/81, 2nd number: 2 1/4
8/81 is smaller than 9/4
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 4 is 324
Next, find the equivalent fraction of both fractional numbers with denominator 324 - For the 1st fraction, since 81 × 4 = 324,
8/81 = 8 × 4/81 × 4 = 32/324 - Likewise, for the 2nd fraction, since 4 × 81 = 324,
9/4 = 9 × 81/4 × 81 = 729/324 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 32/324 < 729/324 or 8/81 < 9/4
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