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Answers.everydaycalculation.com » Compare fractions

Compare 40/54 and 30/21

1st number: 40/54, 2nd number: 1 9/21

40/54 is smaller than 30/21

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 54 and 21 is 378

    Next, find the equivalent fraction of both fractional numbers with denominator 378
  2. For the 1st fraction, since 54 × 7 = 378,
    40/54 = 40 × 7/54 × 7 = 280/378
  3. Likewise, for the 2nd fraction, since 21 × 18 = 378,
    30/21 = 30 × 18/21 × 18 = 540/378
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 280/378 < 540/378 or 40/54 < 30/21

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