Answers

Compare 4/7 and 8/9

4/7 is smaller than 8/9

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 7 and 9 is 63
2. For the 1st fraction, since 7 × 9 = 63,
   4/7 = 4 × 9/7 × 9 = 36/63
3. Likewise, for the 2nd fraction, since 9 × 7 = 63,
   8/9 = 8 × 7/9 × 7 = 56/63
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 36/63 < 56/63 or 4/7 < 8/9

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