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Answers.everydaycalculation.com » Compare fractions

Compare 72/64 and 40/30

1st number: 1 8/64, 2nd number: 1 10/30

72/64 is smaller than 40/30

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 64 and 30 is 960

    Next, find the equivalent fraction of both fractional numbers with denominator 960
  2. For the 1st fraction, since 64 × 15 = 960,
    72/64 = 72 × 15/64 × 15 = 1080/960
  3. Likewise, for the 2nd fraction, since 30 × 32 = 960,
    40/30 = 40 × 32/30 × 32 = 1280/960
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 1080/960 < 1280/960 or 72/64 < 40/30

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