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Answers.everydaycalculation.com » Compare fractions

Compare 8/45 and 30/49

8/45 is smaller than 30/49

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 49 is 2205

    Next, find the equivalent fraction of both fractional numbers with denominator 2205
  2. For the 1st fraction, since 45 × 49 = 2205,
    8/45 = 8 × 49/45 × 49 = 392/2205
  3. Likewise, for the 2nd fraction, since 49 × 45 = 2205,
    30/49 = 30 × 45/49 × 45 = 1350/2205
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 392/2205 < 1350/2205 or 8/45 < 30/49

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