Compare 4/12 and 9/64
4/12 is greater than 9/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 64 is 192
Next, find the equivalent fraction of both fractional numbers with denominator 192 - For the 1st fraction, since 12 × 16 = 192,
4/12 = 4 × 16/12 × 16 = 64/192 - Likewise, for the 2nd fraction, since 64 × 3 = 192,
9/64 = 9 × 3/64 × 3 = 27/192 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 64/192 > 27/192 or 4/12 > 9/64
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