Answers

Compare 4/9 and 42/63

4/9 is smaller than 42/63

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 9 and 63 is 63
   
   Next, find the equivalent fraction of both fractional numbers with denominator 63
2. For the 1st fraction, since 9 × 7 = 63,
   4/9 = 4 × 7/9 × 7 = 28/63
3. Likewise, for the 2nd fraction, since 63 × 1 = 63,
   42/63 = 42 × 1/63 × 1 = 42/63
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 28/63 < 42/63 or 4/9 < 42/63

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