Respuesta :

Given:

There are given that the fraction:

[tex]4\frac{1}{2}-\text{ \lbrack \rbrack}=2\frac{7}{8}[/tex]

Explanation:

Suppose missing information is x

Then,

Ater that we need to find the value of x

So,

[tex]4\frac{1}{2}-x=2\frac{7}{8}[/tex]

Then,

[tex]\begin{gathered} 4\frac{1}{2}-x=2\frac{7}{8} \\ \frac{9}{2}-x=\frac{23}{8} \\ \frac{9}{2}-x-\frac{9}{2}=\frac{23}{8}-\frac{9}{2} \\ -x=\frac{23}{8}-\frac{9}{2} \end{gathered}[/tex]

Now,

[tex]\begin{gathered} -x=\frac{23}{8}-\frac{9}{2} \\ -x=\frac{23-36}{8} \\ -x=\frac{-13}{8} \\ x=\frac{13}{8} \\ x=1\frac{5}{8} \end{gathered}[/tex]

Final answer:

Hence, the missing factor is shown below:

[tex]x=1\frac{5}{8}[/tex]