Answer: 55/2
This converts to the decimal form 27.5
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Work Shown:
[tex]\frac{3}{4}h-12 = 8\frac{5}{8}\\\\\frac{3}{4}h-12 = 8+\frac{5}{8}\\\\8*\left(\frac{3}{4}h-12\right) = 8*\left(8+\frac{5}{8}\right)\\\\8*\left(\frac{3}{4}h\right)-8*\left(12\right) = 8*\left(8\right)+8*\left(\frac{5}{8}\right)\\\\6h-96 = 64+5\\\\6h-96 = 69\\\\6h = 69+96\\\\6h = 165\\\\h = \frac{165}{6}\\\\h = \frac{55*3}{2*3}\\\\h = \frac{55}{2}\\\\h = 27.5\\\\[/tex]
In the third step, I multiplied both sides by the LCD 8 to clear out the fractions.
