Simplify the Expression: 39.3÷4a + 5a + 8.2 + 13z

To solve the problem, we will simplify the expression $39.3 : 4a + 5a + 8.2 + 13z$. Let's break down the steps:

• Step 1: Simplify the division $39.3 : 4a$.
  To solve $39.3 : 4a$, we treat this as $\frac{39.3}{4a}$.
  Calculating the division: $\frac{39.3}{4} = 9.825$. Therefore, $\frac{39.3}{4a} = \frac{9.825}{a}$.
• Step 2: Rearrange the terms.
  We now have $\frac{9.825}{a} + 5a + 8.2 + 13z$. No like terms for direct combination exist as these are distinct variables and constants.
• Step 3: Write the expression.
  The terms should be written in a neat, arranged form as $13z + 8.2 + \frac{9.825}{a} + 5a$.

Therefore, the simplified expression is $\ 13z + 8.2 + \frac{9.825}{a} + 5a$.