Compare 45/75 and 15/16
45/75 is smaller than 15/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 16 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 75 × 16 = 1200,
45/75 = 45 × 16/75 × 16 = 720/1200 - Likewise, for the 2nd fraction, since 16 × 75 = 1200,
15/16 = 15 × 75/16 × 75 = 1125/1200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 720/1200 < 1125/1200 or 45/75 < 15/16
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