Answers

Compare 7/30 and 6/9

7/30 is smaller than 6/9

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 30 and 9 is 90
   
   Next, find the equivalent fraction of both fractional numbers with denominator 90
2. For the 1st fraction, since 30 × 3 = 90,
   7/30 = 7 × 3/30 × 3 = 21/90
3. Likewise, for the 2nd fraction, since 9 × 10 = 90,
   6/9 = 6 × 10/9 × 10 = 60/90
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 21/90 < 60/90 or 7/30 < 6/9

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