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Compare 7/42 and 30/7

1st number: 7/42, 2nd number: 4 2/7

7/42 is smaller than 30/7

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 7 is 42
  2. For the 1st fraction, since 42 × 1 = 42,
    7/42 = 7 × 1/42 × 1 = 7/42
  3. Likewise, for the 2nd fraction, since 7 × 6 = 42,
    30/7 = 30 × 6/7 × 6 = 180/42
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 7/42 < 180/42 or 7/42 < 30/7

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