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Answers.everydaycalculation.com » Compare fractions

Compare 72/64 and 56/9

1st number: 1 8/64, 2nd number: 6 2/9

72/64 is smaller than 56/9

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 64 and 9 is 576

    Next, find the equivalent fraction of both fractional numbers with denominator 576
  2. For the 1st fraction, since 64 × 9 = 576,
    72/64 = 72 × 9/64 × 9 = 648/576
  3. Likewise, for the 2nd fraction, since 9 × 64 = 576,
    56/9 = 56 × 64/9 × 64 = 3584/576
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 648/576 < 3584/576 or 72/64 < 56/9

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