Compare 1/3 and 49/81
1/3 is smaller than 49/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 81 is 81
Next, find the equivalent fraction of both fractional numbers with denominator 81 - For the 1st fraction, since 3 × 27 = 81,
1/3 = 1 × 27/3 × 27 = 27/81 - Likewise, for the 2nd fraction, since 81 × 1 = 81,
49/81 = 49 × 1/81 × 1 = 49/81 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 27/81 < 49/81 or 1/3 < 49/81
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