Compare 1/3 and 81/4
1st number: 1/3, 2nd number: 20 1/4
1/3 is smaller than 81/4
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 4 is 12
Next, find the equivalent fraction of both fractional numbers with denominator 12 - For the 1st fraction, since 3 × 4 = 12,
1/3 = 1 × 4/3 × 4 = 4/12 - Likewise, for the 2nd fraction, since 4 × 3 = 12,
81/4 = 81 × 3/4 × 3 = 243/12 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 4/12 < 243/12 or 1/3 < 81/4
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