Compare 10/12 and 10/64
10/12 is greater than 10/64
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,
10/12 = 10 × 16/12 × 16 = 160/192 - Likewise, for the 2nd fraction, since 64 × 3 = 192,
10/64 = 10 × 3/64 × 3 = 30/192 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/192 > 30/192 or 10/12 > 10/64
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