Answers

Compare 10/4 and 30/9

1^st number: 2 2/4, 2^nd number: 3 3/9

10/4 is smaller than 30/9

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 4 and 9 is 36
   
   Next, find the equivalent fraction of both fractional numbers with denominator 36
2. For the 1st fraction, since 4 × 9 = 36,
   10/4 = 10 × 9/4 × 9 = 90/36
3. Likewise, for the 2nd fraction, since 9 × 4 = 36,
   30/9 = 30 × 4/9 × 4 = 120/36
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 90/36 < 120/36 or 10/4 < 30/9

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