Answers

Compare 36/9 and 35/8

1^st number: 4 0/9, 2^nd number: 4 3/8

36/9 is smaller than 35/8

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 9 and 8 is 72
   
   Next, find the equivalent fraction of both fractional numbers with denominator 72
2. For the 1st fraction, since 9 × 8 = 72,
   36/9 = 36 × 8/9 × 8 = 288/72
3. Likewise, for the 2nd fraction, since 8 × 9 = 72,
   35/8 = 35 × 9/8 × 9 = 315/72
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 288/72 < 315/72 or 36/9 < 35/8

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