Answers

Compare 72/75 and 35/56

72/75 is greater than 35/56

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 75 and 56 is 4200
   
   Next, find the equivalent fraction of both fractional numbers with denominator 4200
2. For the 1st fraction, since 75 × 56 = 4200,
   72/75 = 72 × 56/75 × 56 = 4032/4200
3. Likewise, for the 2nd fraction, since 56 × 75 = 4200,
   35/56 = 35 × 75/56 × 75 = 2625/4200
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 4032/4200 > 2625/4200 or 72/75 > 35/56

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