Compare 45/64 and 45/50
45/64 is smaller than 45/50
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 50 is 1600
Next, find the equivalent fraction of both fractional numbers with denominator 1600 - For the 1st fraction, since 64 × 25 = 1600,
45/64 = 45 × 25/64 × 25 = 1125/1600 - Likewise, for the 2nd fraction, since 50 × 32 = 1600,
45/50 = 45 × 32/50 × 32 = 1440/1600 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1125/1600 < 1440/1600 or 45/64 < 45/50
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