Answers

Compare 36/84 and 21/81

36/84 is greater than 21/81

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 81 is 2268
   
   Next, find the equivalent fraction of both fractional numbers with denominator 2268
2. For the 1st fraction, since 84 × 27 = 2268,
   36/84 = 36 × 27/84 × 27 = 972/2268
3. Likewise, for the 2nd fraction, since 81 × 28 = 2268,
   21/81 = 21 × 28/81 × 28 = 588/2268
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 972/2268 > 588/2268 or 36/84 > 21/81

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