Compare 9/64 and 12/45
9/64 is smaller than 12/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 45 is 2880
Next, find the equivalent fraction of both fractional numbers with denominator 2880 - For the 1st fraction, since 64 × 45 = 2880,
9/64 = 9 × 45/64 × 45 = 405/2880 - Likewise, for the 2nd fraction, since 45 × 64 = 2880,
12/45 = 12 × 64/45 × 64 = 768/2880 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 405/2880 < 768/2880 or 9/64 < 12/45
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