Compare 3/18 and 27/64
3/18 is smaller than 27/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 64 is 576
Next, find the equivalent fraction of both fractional numbers with denominator 576 - For the 1st fraction, since 18 × 32 = 576,
3/18 = 3 × 32/18 × 32 = 96/576 - Likewise, for the 2nd fraction, since 64 × 9 = 576,
27/64 = 27 × 9/64 × 9 = 243/576 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 96/576 < 243/576 or 3/18 < 27/64
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