Compare 10/84 and 10/81
10/84 is smaller than 10/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 81 is 2268
Next, find the equivalent fraction of both fractional numbers with denominator 2268 - For the 1st fraction, since 84 × 27 = 2268,
10/84 = 10 × 27/84 × 27 = 270/2268 - Likewise, for the 2nd fraction, since 81 × 28 = 2268,
10/81 = 10 × 28/81 × 28 = 280/2268 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/2268 < 280/2268 or 10/84 < 10/81
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