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Everydaycalculation.com » Answers » Compare fractions

Compare 3/5 and 10/9

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

3/5 is smaller than 10/9

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 5 and 9 is 45
  2. For the 1st fraction, since 5 × 9 = 45,
    3/5 = 3 × 9/5 × 9 = 27/45
  3. Likewise, for the 2nd fraction, since 9 × 5 = 45,
    10/9 = 10 × 5/9 × 5 = 50/45
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 27/45 < 50/45 or 3/5 < 10/9

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