Respuesta :

775/12 , is your answer.

Answer:  The required simplified expression is [tex]\dfrac{775}{12}.[/tex]

Step-by-step explanation:  We are given to simplify the following expression :

[tex]E=64\dfrac{7}{12}.[/tex]

We will be using the following rule of conversion from mixed to improper fractions :

[tex]a\dfrac{b}{c}=\dfrac{ac+b}{c}.[/tex]

So, we get

[tex]E\\\\\\=64\dfrac{7}{12}\\\\\\=\dfrac{12\times64+7}{12}\\\\\\=\dfrac{768+7}{12}\\\\\\=\dfrac{775}{12}.[/tex]

Thus, the required simplified expression is [tex]\dfrac{775}{12}.[/tex]