Compare 3/4 and 45/64
3/4 is greater than 45/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 64 is 64
Next, find the equivalent fraction of both fractional numbers with denominator 64 - For the 1st fraction, since 4 × 16 = 64,
3/4 = 3 × 16/4 × 16 = 48/64 - Likewise, for the 2nd fraction, since 64 × 1 = 64,
45/64 = 45 × 1/64 × 1 = 45/64 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 48/64 > 45/64 or 3/4 > 45/64
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