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Answers.everydaycalculation.com » Compare fractions

Compare 28/75 and 42/49

28/75 is smaller than 42/49

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 49 is 3675

    Next, find the equivalent fraction of both fractional numbers with denominator 3675
  2. For the 1st fraction, since 75 × 49 = 3675,
    28/75 = 28 × 49/75 × 49 = 1372/3675
  3. Likewise, for the 2nd fraction, since 49 × 75 = 3675,
    42/49 = 42 × 75/49 × 75 = 3150/3675
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 1372/3675 < 3150/3675 or 28/75 < 42/49

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