Respuesta :
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]