Answers

Compare 4/81 and 8/98

4/81 is smaller than 8/98

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 81 and 98 is 7938
   
   Next, find the equivalent fraction of both fractional numbers with denominator 7938
2. For the 1st fraction, since 81 × 98 = 7938,
   4/81 = 4 × 98/81 × 98 = 392/7938
3. Likewise, for the 2nd fraction, since 98 × 81 = 7938,
   8/98 = 8 × 81/98 × 81 = 648/7938
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 392/7938 < 648/7938 or 4/81 < 8/98

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