Question

List 5 fractions that are between 1/3 and 4/5

Answer 1

9514 1404 393

Answer:

  2/5, 7/15, 8/15, 3/5, 2/3

Step-by-step explanation:

If these fractions are expressed with a common denominator, that would be 3×5 = 15. Then the given fractions are 1/3 = 5/15, and 4/5 = 12/15. The numerators 5 and 12 differ by 7, so we can easily choose 5 fractions in that range:

  6/15 = 2/5

  7/15

  8/15

  9/15 = 3/5

  10/15 = 2/3

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Alternate solutions

There is no requirement for the fractions to be written any particular way or with any particular spacing. The limits in decimal are 1/3 = 0.3333...(repeating) and 4/5 = 0.8. We could choose the decimal fractions ...

  0.34, 0.40, 0.50, 0.60, 0.70

or

  0.41, 0.52, 0.63, 0.74, 0.79