Compare 10/64 and 10/45
10/64 is smaller than 10/45
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,
10/64 = 10 × 45/64 × 45 = 450/2880 - Likewise, for the 2nd fraction, since 45 × 64 = 2880,
10/45 = 10 × 64/45 × 64 = 640/2880 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 450/2880 < 640/2880 or 10/64 < 10/45
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