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Answers.everydaycalculation.com » Compare fractions

Compare 7/4 and 42/7

1st number: 1 3/4, 2nd number: 6 0/7

7/4 is smaller than 42/7

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 4 and 7 is 28

    Next, find the equivalent fraction of both fractional numbers with denominator 28
  2. For the 1st fraction, since 4 × 7 = 28,
    7/4 = 7 × 7/4 × 7 = 49/28
  3. Likewise, for the 2nd fraction, since 7 × 4 = 28,
    42/7 = 42 × 4/7 × 4 = 168/28
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 49/28 < 168/28 or 7/4 < 42/7

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