Compare 1/45 and 30/81
1/45 is smaller than 30/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 81 is 405
Next, find the equivalent fraction of both fractional numbers with denominator 405 - For the 1st fraction, since 45 × 9 = 405,
1/45 = 1 × 9/45 × 9 = 9/405 - Likewise, for the 2nd fraction, since 81 × 5 = 405,
30/81 = 30 × 5/81 × 5 = 150/405 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 9/405 < 150/405 or 1/45 < 30/81
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