Compare 3/36 and 10/64
3/36 is smaller than 10/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 64 is 576
Next, find the equivalent fraction of both fractional numbers with denominator 576 - For the 1st fraction, since 36 × 16 = 576,
3/36 = 3 × 16/36 × 16 = 48/576 - Likewise, for the 2nd fraction, since 64 × 9 = 576,
10/64 = 10 × 9/64 × 9 = 90/576 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 48/576 < 90/576 or 3/36 < 10/64
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