Compare 1/81 and 40/7
1st number: 1/81, 2nd number: 5 5/7
1/81 is smaller than 40/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 7 is 567
Next, find the equivalent fraction of both fractional numbers with denominator 567 - For the 1st fraction, since 81 × 7 = 567,
1/81 = 1 × 7/81 × 7 = 7/567 - Likewise, for the 2nd fraction, since 7 × 81 = 567,
40/7 = 40 × 81/7 × 81 = 3240/567 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 7/567 < 3240/567 or 1/81 < 40/7
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