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Answers.everydaycalculation.com » Compare fractions

Compare 75/8 and 8/21

1st number: 9 3/8, 2nd number: 8/21

75/8 is greater than 8/21

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 8 and 21 is 168
  2. For the 1st fraction, since 8 × 21 = 168,
    75/8 = 75 × 21/8 × 21 = 1575/168
  3. Likewise, for the 2nd fraction, since 21 × 8 = 168,
    8/21 = 8 × 8/21 × 8 = 64/168
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 1575/168 > 64/168 or 75/8 > 8/21

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