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Answers.everydaycalculation.com » Compare fractions

Compare 2/5 and 21/9

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

2/5 is smaller than 21/9

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 5 and 9 is 45

    Next, find the equivalent fraction of both fractional numbers with denominator 45
  2. For the 1st fraction, since 5 × 9 = 45,
    2/5 = 2 × 9/5 × 9 = 18/45
  3. Likewise, for the 2nd fraction, since 9 × 5 = 45,
    21/9 = 21 × 5/9 × 5 = 105/45
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 18/45 < 105/45 or 2/5 < 21/9

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