Compare 10/81 and 10/48
10/81 is smaller than 10/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 48 is 1296
Next, find the equivalent fraction of both fractional numbers with denominator 1296 - For the 1st fraction, since 81 × 16 = 1296,
10/81 = 10 × 16/81 × 16 = 160/1296 - Likewise, for the 2nd fraction, since 48 × 27 = 1296,
10/48 = 10 × 27/48 × 27 = 270/1296 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/1296 < 270/1296 or 10/81 < 10/48
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