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Insert three fractions between 1/8 and 1/5 so the five fractions form an arithmetic sequence. What is the sum, expressed as a common fraction, of these three new fractions?

 Mar 20, 2022
 #1
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Like so:

 

Sequence:  18,18+d,18+2d,18+3d,15

 

Last term:  18+4d=15  Use this to find d, then you can find and sum the three middle fractions.

 Mar 22, 2022

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