Compare 7/3 and 64/25
1st number: 2 1/3, 2nd number: 2 14/25
7/3 is smaller than 64/25
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,
7/3 = 7 × 25/3 × 25 = 175/75 - Likewise, for the 2nd fraction, since 25 × 3 = 75,
64/25 = 64 × 3/25 × 3 = 192/75 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 175/75 < 192/75 or 7/3 < 64/25
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