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
