Compare 4/6 and 21/64
4/6 is greater than 21/64
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,
4/6 = 4 × 32/6 × 32 = 128/192 - Likewise, for the 2nd fraction, since 64 × 3 = 192,
21/64 = 21 × 3/64 × 3 = 63/192 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 128/192 > 63/192 or 4/6 > 21/64
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