Compare 1/4 and 30/81
1/4 is smaller than 30/81
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,
30/81 = 30 × 4/81 × 4 = 120/324 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 81/324 < 120/324 or 1/4 < 30/81
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