Answers

Compare 6/7 and 9/30

6/7 is greater than 9/30

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 7 and 30 is 210
   
   Next, find the equivalent fraction of both fractional numbers with denominator 210
2. For the 1st fraction, since 7 × 30 = 210,
   6/7 = 6 × 30/7 × 30 = 180/210
3. Likewise, for the 2nd fraction, since 30 × 7 = 210,
   9/30 = 9 × 7/30 × 7 = 63/210
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 180/210 > 63/210 or 6/7 > 9/30

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