Compare 5/12 and 45/64
5/12 is smaller than 45/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 64 is 192
Next, find the equivalent fraction of both fractional numbers with denominator 192 - For the 1st fraction, since 12 × 16 = 192,
5/12 = 5 × 16/12 × 16 = 80/192 - Likewise, for the 2nd fraction, since 64 × 3 = 192,
45/64 = 45 × 3/64 × 3 = 135/192 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/192 < 135/192 or 5/12 < 45/64
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