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Levans writes a positive fraction in which the numerator and denominator are integers, and the numerator is $2$ greater than the denominator.  He then writes several more fractions.  To make each new fraction, he increases both the numerator and the denominator of the previous fraction by $1.$  He then multiplies all his fractions together.  He has $10$ fractions, and their product equals $8/3.$  What is the value of the first fraction he wrote?

 
 Dec 12, 2023

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