Answers

Compare 10/75 and 10/27

10/75 is smaller than 10/27

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 75 and 27 is 675
   
   Next, find the equivalent fraction of both fractional numbers with denominator 675
2. For the 1st fraction, since 75 × 9 = 675,
   10/75 = 10 × 9/75 × 9 = 90/675
3. Likewise, for the 2nd fraction, since 27 × 25 = 675,
   10/27 = 10 × 25/27 × 25 = 250/675
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 90/675 < 250/675 or 10/75 < 10/27

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