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Answers.everydaycalculation.com » Compare fractions

Compare 1/75 and 42/20

1st number: 1/75, 2nd number: 2 2/20

1/75 is smaller than 42/20

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 20 is 300

    Next, find the equivalent fraction of both fractional numbers with denominator 300
  2. For the 1st fraction, since 75 × 4 = 300,
    1/75 = 1 × 4/75 × 4 = 4/300
  3. Likewise, for the 2nd fraction, since 20 × 15 = 300,
    42/20 = 42 × 15/20 × 15 = 630/300
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 4/300 < 630/300 or 1/75 < 42/20

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