Answers

Compare 75/96 and 63/75

75/96 is smaller than 63/75

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 96 and 75 is 2400
   
   Next, find the equivalent fraction of both fractional numbers with denominator 2400
2. For the 1st fraction, since 96 × 25 = 2400,
   75/96 = 75 × 25/96 × 25 = 1875/2400
3. Likewise, for the 2nd fraction, since 75 × 32 = 2400,
   63/75 = 63 × 32/75 × 32 = 2016/2400
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 1875/2400 < 2016/2400 or 75/96 < 63/75

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