Compare 1/81 and 7/45
1/81 is smaller than 7/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 45 is 405
Next, find the equivalent fraction of both fractional numbers with denominator 405 - For the 1st fraction, since 81 × 5 = 405,
1/81 = 1 × 5/81 × 5 = 5/405 - Likewise, for the 2nd fraction, since 45 × 9 = 405,
7/45 = 7 × 9/45 × 9 = 63/405 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 5/405 < 63/405 or 1/81 < 7/45
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