SOLUTION: Write any two rational numbers between 1/2 and 1/4

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Question 1186612: Write any two rational numbers between 1/2 and 1/4
Answer by ikleyn(52855) About Me  (Show Source):
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Notice that  1%2F2 = 8%2F16  and  1%2F4 = 4%2F16.


Having it, you can write other two rational numbers between  1%2F2  and  1%2F4  as  5%2F16  and  7%2F16, for example.


So the entire sequence of four numbers take a form


    1%2F4 = 4%2F16,  5%2F16,  7%2F16,  8%2F16 = 1%2F2.


The two inserted terms are the second and the third in this sequence.