Compare 7/24 and 9/64
7/24 is greater than 9/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 64 is 192
Next, find the equivalent fraction of both fractional numbers with denominator 192 - For the 1st fraction, since 24 × 8 = 192,
7/24 = 7 × 8/24 × 8 = 56/192 - 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
- 56/192 > 27/192 or 7/24 > 9/64
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