Compare 49/45 and 2/81
1st number: 1 4/45, 2nd number: 2/81
49/45 is greater than 2/81
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,
49/45 = 49 × 9/45 × 9 = 441/405 - Likewise, for the 2nd fraction, since 81 × 5 = 405,
2/81 = 2 × 5/81 × 5 = 10/405 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 441/405 > 10/405 or 49/45 > 2/81
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