Compare 8/3 and 81/16
1st number: 2 2/3, 2nd number: 5 1/16
8/3 is smaller than 81/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 16 is 48
Next, find the equivalent fraction of both fractional numbers with denominator 48 - For the 1st fraction, since 3 × 16 = 48,
8/3 = 8 × 16/3 × 16 = 128/48 - Likewise, for the 2nd fraction, since 16 × 3 = 48,
81/16 = 81 × 3/16 × 3 = 243/48 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 128/48 < 243/48 or 8/3 < 81/16
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