Answers

Compare 10/84 and 14/75

10/84 is smaller than 14/75

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 75 is 2100
   
   Next, find the equivalent fraction of both fractional numbers with denominator 2100
2. For the 1st fraction, since 84 × 25 = 2100,
   10/84 = 10 × 25/84 × 25 = 250/2100
3. Likewise, for the 2nd fraction, since 75 × 28 = 2100,
   14/75 = 14 × 28/75 × 28 = 392/2100
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 250/2100 < 392/2100 or 10/84 < 14/75

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