exam Maths Puzzle Numerical Ability

What is the "highest unobtainable price" (HUP) for $3/$8?

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i am doing factoring using the distributive property
so i have a problem like this
7x+49 The ratio of the numerator to the denominator of a certain fraction is five to eight. If five is subtracted from the numerator and four is added to the denominator, the new fraction reduces to one-half. Find the original fraction.