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Answers.everydaycalculation.com » Compare fractions

Compare 21/18 and 75/45

1st number: 1 3/18, 2nd number: 1 30/45

21/18 is smaller than 75/45

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 18 and 45 is 90

    Next, find the equivalent fraction of both fractional numbers with denominator 90
  2. For the 1st fraction, since 18 × 5 = 90,
    21/18 = 21 × 5/18 × 5 = 105/90
  3. Likewise, for the 2nd fraction, since 45 × 2 = 90,
    75/45 = 75 × 2/45 × 2 = 150/90
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 105/90 < 150/90 or 21/18 < 75/45

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