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Answers.everydaycalculation.com » Compare fractions

Compare 1/7 and 30/64

1/7 is smaller than 30/64

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 7 and 64 is 448

    Next, find the equivalent fraction of both fractional numbers with denominator 448
  2. For the 1st fraction, since 7 × 64 = 448,
    1/7 = 1 × 64/7 × 64 = 64/448
  3. Likewise, for the 2nd fraction, since 64 × 7 = 448,
    30/64 = 30 × 7/64 × 7 = 210/448
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 64/448 < 210/448 or 1/7 < 30/64

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