Answers

Compare 8/12 and 8/9

8/12 is smaller than 8/9

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 12 and 9 is 36
   
   Next, find the equivalent fraction of both fractional numbers with denominator 36
2. For the 1st fraction, since 12 × 3 = 36,
   8/12 = 8 × 3/12 × 3 = 24/36
3. Likewise, for the 2nd fraction, since 9 × 4 = 36,
   8/9 = 8 × 4/9 × 4 = 32/36
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 24/36 < 32/36 or 8/12 < 8/9

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