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A unit fraction is a fraction of the form 1/n for some nonzero integer n. Compute the number of ways we can write $1/8$ as the sum of two distinct positive unit fractions. (The order of the fractions in the sum does not matter, so 1/2+1/3 would be considered the same sum as 1/3+1/2)

 Oct 29, 2021
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1/8 ==1/9  +  1/72

 

1/8 ==1/10  +  1/40

 

1/8==1/12  +  1/24

 Oct 29, 2021

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