Answers

Compare 10/8 and 30/9

1^st number: 1 2/8, 2^nd number: 3 3/9

10/8 is smaller than 30/9

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 8 and 9 is 72
   
   Next, find the equivalent fraction of both fractional numbers with denominator 72
2. For the 1st fraction, since 8 × 9 = 72,
   10/8 = 10 × 9/8 × 9 = 90/72
3. Likewise, for the 2nd fraction, since 9 × 8 = 72,
   30/9 = 30 × 8/9 × 8 = 240/72
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 90/72 < 240/72 or 10/8 < 30/9

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