Compare 81/25 and 40/16
1st number: 3 6/25, 2nd number: 2 8/16
81/25 is greater than 40/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 16 is 400
Next, find the equivalent fraction of both fractional numbers with denominator 400 - For the 1st fraction, since 25 × 16 = 400,
81/25 = 81 × 16/25 × 16 = 1296/400 - Likewise, for the 2nd fraction, since 16 × 25 = 400,
40/16 = 40 × 25/16 × 25 = 1000/400 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1296/400 > 1000/400 or 81/25 > 40/16
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