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Answers.everydaycalculation.com » Compare fractions

Compare 45/40 and 48/7

1st number: 1 5/40, 2nd number: 6 6/7

45/40 is smaller than 48/7

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 7 is 280

    Next, find the equivalent fraction of both fractional numbers with denominator 280
  2. For the 1st fraction, since 40 × 7 = 280,
    45/40 = 45 × 7/40 × 7 = 315/280
  3. Likewise, for the 2nd fraction, since 7 × 40 = 280,
    48/7 = 48 × 40/7 × 40 = 1920/280
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 315/280 < 1920/280 or 45/40 < 48/7

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