Answers

Compare 1/6 and 5/9

1/6 is smaller than 5/9

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,
   1/6 = 1 × 3/6 × 3 = 3/18
3. Likewise, for the 2nd fraction, since 9 × 2 = 18,
   5/9 = 5 × 2/9 × 2 = 10/18
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 3/18 < 10/18 or 1/6 < 5/9

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