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Compare 2/30 and 30/42

2/30 is smaller than 30/42

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 30 and 42 is 210
  2. For the 1st fraction, since 30 × 7 = 210,
    2/30 = 2 × 7/30 × 7 = 14/210
  3. Likewise, for the 2nd fraction, since 42 × 5 = 210,
    30/42 = 30 × 5/42 × 5 = 150/210
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 14/210 < 150/210 or 2/30 < 30/42

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