Answers

Compare 10/30 and 42/8

1^st number: 10/30, 2^nd number: 5 2/8

10/30 is smaller than 42/8

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 30 and 8 is 120
2. For the 1st fraction, since 30 × 4 = 120,
   10/30 = 10 × 4/30 × 4 = 40/120
3. Likewise, for the 2nd fraction, since 8 × 15 = 120,
   42/8 = 42 × 15/8 × 15 = 630/120
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 40/120 < 630/120 or 10/30 < 42/8

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