Solve for $$ w $$. $$ \frac{8}{5} w=40 $$ Simplify your answer as much as possible. $$ w= $$

Question

UpStudy AI · Accepted Answer

To solve for $$ w $$ in the equation:

$$
\frac{8}{5} w = 40
$$

Follow these steps:

1. **Isolate $$ w $$:**  
   Multiply both sides of the equation by the reciprocal of $$\frac{8}{5}$$, which is $$\frac{5}{8}$$:

$$
   w = 40 \times \frac{5}{8}
   $$

2. **Simplify the Multiplication:**  
   Divide 40 by 8:

$$
   40 \div 8 = 5
   $$

Then multiply by 5:

$$
   5 \times 5 = 25
   $$

3. **Final Solution:**

$$
   w = 25
   $$

**Answer:**

$$
w = 25
$$
$$ w = 25 $$

Solve for \( w \). \[ \frac{8}{5} w=40 \] Simplify your answer as much as possible. \[ w= \]