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Answers.everydaycalculation.com » Compare fractions

Compare 30/14 and 84/9

1st number: 2 2/14, 2nd number: 9 3/9

30/14 is smaller than 84/9

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 14 and 9 is 126

    Next, find the equivalent fraction of both fractional numbers with denominator 126
  2. For the 1st fraction, since 14 × 9 = 126,
    30/14 = 30 × 9/14 × 9 = 270/126
  3. Likewise, for the 2nd fraction, since 9 × 14 = 126,
    84/9 = 84 × 14/9 × 14 = 1176/126
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 270/126 < 1176/126 or 30/14 < 84/9

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