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