Compare 8/3 and 84/25
1st number: 2 2/3, 2nd number: 3 9/25
8/3 is smaller than 84/25
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 25 is 75
Next, find the equivalent fraction of both fractional numbers with denominator 75 - For the 1st fraction, since 3 × 25 = 75,
8/3 = 8 × 25/3 × 25 = 200/75 - Likewise, for the 2nd fraction, since 25 × 3 = 75,
84/25 = 84 × 3/25 × 3 = 252/75 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 200/75 < 252/75 or 8/3 < 84/25
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