Answers

Compare 30/84 and 35/81

30/84 is smaller than 35/81

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,
   30/84 = 30 × 27/84 × 27 = 810/2268
3. Likewise, for the 2nd fraction, since 81 × 28 = 2268,
   35/81 = 35 × 28/81 × 28 = 980/2268
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 810/2268 < 980/2268 or 30/84 < 35/81

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