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Answers.everydaycalculation.com » Compare fractions

Compare 6/8 and 56/9

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

6/8 is smaller than 56/9

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 8 and 9 is 72

    Next, find the equivalent fraction of both fractional numbers with denominator 72
  2. For the 1st fraction, since 8 × 9 = 72,
    6/8 = 6 × 9/8 × 9 = 54/72
  3. Likewise, for the 2nd fraction, since 9 × 8 = 72,
    56/9 = 56 × 8/9 × 8 = 448/72
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 54/72 < 448/72 or 6/8 < 56/9

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