Answers

Compare 8/30 and 18/63

8/30 is smaller than 18/63

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 30 and 63 is 630
   
   Next, find the equivalent fraction of both fractional numbers with denominator 630
2. For the 1st fraction, since 30 × 21 = 630,
   8/30 = 8 × 21/30 × 21 = 168/630
3. Likewise, for the 2nd fraction, since 63 × 10 = 630,
   18/63 = 18 × 10/63 × 10 = 180/630
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 168/630 < 180/630 or 8/30 < 18/63

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