Compare 8/81 and 5/48
8/81 is smaller than 5/48
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,
8/81 = 8 × 16/81 × 16 = 128/1296 - Likewise, for the 2nd fraction, since 48 × 27 = 1296,
5/48 = 5 × 27/48 × 27 = 135/1296 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 128/1296 < 135/1296 or 8/81 < 5/48
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