Compare 10/64 and 10/18
10/64 is smaller than 10/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 18 is 576
Next, find the equivalent fraction of both fractional numbers with denominator 576 - For the 1st fraction, since 64 × 9 = 576,
10/64 = 10 × 9/64 × 9 = 90/576 - Likewise, for the 2nd fraction, since 18 × 32 = 576,
10/18 = 10 × 32/18 × 32 = 320/576 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/576 < 320/576 or 10/64 < 10/18
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