Compare 12/3 and 75/64
1st number: 4 0/3, 2nd number: 1 11/64
12/3 is greater than 75/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 64 is 192
Next, find the equivalent fraction of both fractional numbers with denominator 192 - For the 1st fraction, since 3 × 64 = 192,
12/3 = 12 × 64/3 × 64 = 768/192 - Likewise, for the 2nd fraction, since 64 × 3 = 192,
75/64 = 75 × 3/64 × 3 = 225/192 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 768/192 > 225/192 or 12/3 > 75/64
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