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Everydaycalculation.com » Answers » Compare fractions

Compare 75/8 and 40/7

1st number: 9 3/8, 2nd number: 5 5/7

75/8 is greater than 40/7

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 8 and 7 is 56
  2. For the 1st fraction, since 8 × 7 = 56,
    75/8 = 75 × 7/8 × 7 = 525/56
  3. Likewise, for the 2nd fraction, since 7 × 8 = 56,
    40/7 = 40 × 8/7 × 8 = 320/56
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 525/56 > 320/56 or 75/8 > 40/7

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