Answers

Compare 10/6 and 20/9

1^st number: 1 4/6, 2^nd number: 2 2/9

10/6 is smaller than 20/9

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 6 and 9 is 18
   
   Next, find the equivalent fraction of both fractional numbers with denominator 18
2. For the 1st fraction, since 6 × 3 = 18,
   10/6 = 10 × 3/6 × 3 = 30/18
3. Likewise, for the 2nd fraction, since 9 × 2 = 18,
   20/9 = 20 × 2/9 × 2 = 40/18
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 30/18 < 40/18 or 10/6 < 20/9

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