Compare 18/64 and 18/36
18/64 is smaller than 18/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 36 is 576
Next, find the equivalent fraction of both fractional numbers with denominator 576 - For the 1st fraction, since 64 × 9 = 576,
18/64 = 18 × 9/64 × 9 = 162/576 - Likewise, for the 2nd fraction, since 36 × 16 = 576,
18/36 = 18 × 16/36 × 16 = 288/576 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 162/576 < 288/576 or 18/64 < 18/36
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