Answers

Compare 24/9 and 21/8

1^st number: 2 6/9, 2^nd number: 2 5/8

24/9 is greater than 21/8

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,
   24/9 = 24 × 8/9 × 8 = 192/72
3. Likewise, for the 2nd fraction, since 8 × 9 = 72,
   21/8 = 21 × 9/8 × 9 = 189/72
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 192/72 > 189/72 or 24/9 > 21/8

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