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For each problem below find the missing factor by computing the inverse operation

For each problem below find the missing factor by computing the inverse operation-example-1

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Given:

There are given that the fraction:


4(1)/(2)-\text{ \lbrack \rbrack}=2(7)/(8)

Step-by-step explanation:

Suppose missing information is x

Then,

Ater that we need to find the value of x

So,


4(1)/(2)-x=2(7)/(8)

Then,


\begin{gathered} 4(1)/(2)-x=2(7)/(8) \\ (9)/(2)-x=(23)/(8) \\ (9)/(2)-x-(9)/(2)=(23)/(8)-(9)/(2) \\ -x=(23)/(8)-(9)/(2) \end{gathered}

Now,


\begin{gathered} -x=(23)/(8)-(9)/(2) \\ -x=(23-36)/(8) \\ -x=(-13)/(8) \\ x=(13)/(8) \\ x=1(5)/(8) \end{gathered}

Final answer:

Hence, the missing factor is shown below:


x=1(5)/(8)

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