Answers

Compare 70/96 and 42/75

70/96 is greater than 42/75

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,
   70/96 = 70 × 25/96 × 25 = 1750/2400
3. Likewise, for the 2nd fraction, since 75 × 32 = 2400,
   42/75 = 42 × 32/75 × 32 = 1344/2400
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 1750/2400 > 1344/2400 or 70/96 > 42/75

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