Compare 1/6 and 63/64
1/6 is smaller than 63/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 64 is 192
Next, find the equivalent fraction of both fractional numbers with denominator 192 - For the 1st fraction, since 6 × 32 = 192,
1/6 = 1 × 32/6 × 32 = 32/192 - Likewise, for the 2nd fraction, since 64 × 3 = 192,
63/64 = 63 × 3/64 × 3 = 189/192 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 32/192 < 189/192 or 1/6 < 63/64
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