Answers

Compare 2/15 and 10/9

1^st number: 2/15, 2^nd number: 1 1/9

2/15 is smaller than 10/9

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 15 and 9 is 45
   
   Next, find the equivalent fraction of both fractional numbers with denominator 45
2. For the 1st fraction, since 15 × 3 = 45,
   2/15 = 2 × 3/15 × 3 = 6/45
3. Likewise, for the 2nd fraction, since 9 × 5 = 45,
   10/9 = 10 × 5/9 × 5 = 50/45
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 6/45 < 50/45 or 2/15 < 10/9

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