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Answers.everydaycalculation.com » Compare fractions

Compare 5/7 and 30/8

1st number: 5/7, 2nd number: 3 6/8

5/7 is smaller than 30/8

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 7 and 8 is 56

    Next, find the equivalent fraction of both fractional numbers with denominator 56
  2. For the 1st fraction, since 7 × 8 = 56,
    5/7 = 5 × 8/7 × 8 = 40/56
  3. Likewise, for the 2nd fraction, since 8 × 7 = 56,
    30/8 = 30 × 7/8 × 7 = 210/56
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 40/56 < 210/56 or 5/7 < 30/8

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