Compare 2/9 and 45/81
2/9 is smaller than 45/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 81 is 81
Next, find the equivalent fraction of both fractional numbers with denominator 81 - For the 1st fraction, since 9 × 9 = 81,
2/9 = 2 × 9/9 × 9 = 18/81 - Likewise, for the 2nd fraction, since 81 × 1 = 81,
45/81 = 45 × 1/81 × 1 = 45/81 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 18/81 < 45/81 or 2/9 < 45/81
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