Answers

Compare 4/6 and 8/9

4/6 is smaller than 8/9

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 6 and 9 is 18
2. For the 1st fraction, since 6 × 3 = 18,
   4/6 = 4 × 3/6 × 3 = 12/18
3. Likewise, for the 2nd fraction, since 9 × 2 = 18,
   8/9 = 8 × 2/9 × 2 = 16/18
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 12/18 < 16/18 or 4/6 < 8/9

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