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Answers.everydaycalculation.com » Compare fractions

Compare 1/3 and 30/70

1/3 is smaller than 30/70

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 3 and 70 is 210

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 3 × 70 = 210,
    1/3 = 1 × 70/3 × 70 = 70/210
  3. Likewise, for the 2nd fraction, since 70 × 3 = 210,
    30/70 = 30 × 3/70 × 3 = 90/210
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 70/210 < 90/210 or 1/3 < 30/70

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