Compare 6/64 and 6/36
6/64 is smaller than 6/36
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,
6/64 = 6 × 9/64 × 9 = 54/576 - Likewise, for the 2nd fraction, since 36 × 16 = 576,
6/36 = 6 × 16/36 × 16 = 96/576 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 54/576 < 96/576 or 6/64 < 6/36
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