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Answers.everydaycalculation.com » Compare fractions

Compare 21/30 and 40/16

1st number: 21/30, 2nd number: 2 8/16

21/30 is smaller than 40/16

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 30 and 16 is 240

    Next, find the equivalent fraction of both fractional numbers with denominator 240
  2. For the 1st fraction, since 30 × 8 = 240,
    21/30 = 21 × 8/30 × 8 = 168/240
  3. Likewise, for the 2nd fraction, since 16 × 15 = 240,
    40/16 = 40 × 15/16 × 15 = 600/240
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 168/240 < 600/240 or 21/30 < 40/16

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