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Answers.everydaycalculation.com » Compare fractions

Compare 42/9 and 75/10

1st number: 4 6/9, 2nd number: 7 5/10

42/9 is smaller than 75/10

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 9 and 10 is 90

    Next, find the equivalent fraction of both fractional numbers with denominator 90
  2. For the 1st fraction, since 9 × 10 = 90,
    42/9 = 42 × 10/9 × 10 = 420/90
  3. Likewise, for the 2nd fraction, since 10 × 9 = 90,
    75/10 = 75 × 9/10 × 9 = 675/90
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 420/90 < 675/90 or 42/9 < 75/10

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