Compare 10/81 and 3/21
10/81 is smaller than 3/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 21 is 567
Next, find the equivalent fraction of both fractional numbers with denominator 567 - For the 1st fraction, since 81 × 7 = 567,
10/81 = 10 × 7/81 × 7 = 70/567 - Likewise, for the 2nd fraction, since 21 × 27 = 567,
3/21 = 3 × 27/21 × 27 = 81/567 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 70/567 < 81/567 or 10/81 < 3/21
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