Answers

Compare 36/60 and 75/84

36/60 is smaller than 75/84

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 60 and 84 is 420
   
   Next, find the equivalent fraction of both fractional numbers with denominator 420
2. For the 1st fraction, since 60 × 7 = 420,
   36/60 = 36 × 7/60 × 7 = 252/420
3. Likewise, for the 2nd fraction, since 84 × 5 = 420,
   75/84 = 75 × 5/84 × 5 = 375/420
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 252/420 < 375/420 or 36/60 < 75/84

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