Compare 2/3 and 10/64
2/3 is greater than 10/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 64 is 192
Next, find the equivalent fraction of both fractional numbers with denominator 192 - For the 1st fraction, since 3 × 64 = 192,
2/3 = 2 × 64/3 × 64 = 128/192 - 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
- 128/192 > 30/192 or 2/3 > 10/64
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