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Verified Answer :

775/12 , is your answer.

Answer:  The required simplified expression is \(\dfrac{775}{12}.\)

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

\(E=64\dfrac{7}{12}.\)

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

\(a\dfrac{b}{c}=\dfrac{ac+b}{c}.\)

So, we get

\(E\\\\\\=64\dfrac{7}{12}\\\\\\=\dfrac{12\times64+7}{12}\\\\\\=\dfrac{768+7}{12}\\\\\\=\dfrac{775}{12}.\)

Thus, the required simplified expression is \(\dfrac{775}{12}.\)