Compare 9/64 and 18/75
9/64 is smaller than 18/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 75 is 4800
Next, find the equivalent fraction of both fractional numbers with denominator 4800 - For the 1st fraction, since 64 × 75 = 4800,
9/64 = 9 × 75/64 × 75 = 675/4800 - Likewise, for the 2nd fraction, since 75 × 64 = 4800,
18/75 = 18 × 64/75 × 64 = 1152/4800 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 675/4800 < 1152/4800 or 9/64 < 18/75
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