Answers

Compare 24/75 and 42/84

24/75 is smaller than 42/84

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 75 and 84 is 2100
   
   Next, find the equivalent fraction of both fractional numbers with denominator 2100
2. For the 1st fraction, since 75 × 28 = 2100,
   24/75 = 24 × 28/75 × 28 = 672/2100
3. Likewise, for the 2nd fraction, since 84 × 25 = 2100,
   42/84 = 42 × 25/84 × 25 = 1050/2100
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 672/2100 < 1050/2100 or 24/75 < 42/84

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