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Answers.everydaycalculation.com » Compare fractions

Compare 1/7 and 98/30

1st number: 1/7, 2nd number: 3 8/30

1/7 is smaller than 98/30

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 7 and 30 is 210

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 7 × 30 = 210,
    1/7 = 1 × 30/7 × 30 = 30/210
  3. Likewise, for the 2nd fraction, since 30 × 7 = 210,
    98/30 = 98 × 7/30 × 7 = 686/210
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 30/210 < 686/210 or 1/7 < 98/30

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