Compare 1/4 and 84/81
1st number: 1/4, 2nd number: 1 3/81
1/4 is smaller than 84/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 81 is 324
Next, find the equivalent fraction of both fractional numbers with denominator 324 - For the 1st fraction, since 4 × 81 = 324,
1/4 = 1 × 81/4 × 81 = 81/324 - Likewise, for the 2nd fraction, since 81 × 4 = 324,
84/81 = 84 × 4/81 × 4 = 336/324 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 81/324 < 336/324 or 1/4 < 84/81
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