Fe metal sheet

5/8 of the metal sheet is consumed for one product, to the second 5/6 of remains. What part of the sheet metal is needed for both products together?

Correct answer:

x =  15/16

Step-by-step explanation:

$$\begin{gathered} a=\frac{5}{8}=0.625 \\ b=\frac{5}{6}\cdot (1-a)=\frac{5}{6}\cdot (1-\frac{5}{8})=\frac{5}{16}=0.3125 \\ x=a+b=\frac{5}{8}+\frac{5}{16}=\frac{10}{16}+\frac{5}{16}=\frac{10+5}{16}=\frac{15}{16}=0.9375 \end{gathered}$$

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