Answers

Compare 42/72 and 27/75

42/72 is greater than 27/75

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 72 and 75 is 1800
   
   Next, find the equivalent fraction of both fractional numbers with denominator 1800
2. For the 1st fraction, since 72 × 25 = 1800,
   42/72 = 42 × 25/72 × 25 = 1050/1800
3. Likewise, for the 2nd fraction, since 75 × 24 = 1800,
   27/75 = 27 × 24/75 × 24 = 648/1800
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 1050/1800 > 648/1800 or 42/72 > 27/75

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