By what number should `(-8)/(15)` be mulitplied to get 24?

Answer

To solve the question "By what number should \((-8)/(15)\) be multiplied to get 24?", we can follow these steps:

### Step 1: Set up the equation
Let the unknown number be \( x \). According to the problem, we can set up the equation:
\[ \frac{-8}{15} \times x = 24 \]

### Step 2: Isolate \( x \)
To find \( x \), we need to isolate it on one side of the equation. We can do this by multiplying both sides of the equation by the reciprocal of \(\frac{-8}{15}\):
\[ x = 24 \times \frac{15}{-8} \]

### Step 3: Simplify the right side
Now, we can simplify the right side:
\[ x = \frac{24 \times 15}{-8} \]

### Step 4: Calculate \( 24 \times 15 \)
First, calculate \( 24 \times 15 \):
\[ 24 \times 15 = 360 \]
So, we have:
\[ x = \frac{360}{-8} \]

### Step 5: Simplify \(\frac{360}{-8}\)
Now, divide \( 360 \) by \( -8 \):
\[ x = -45 \]

### Final Answer
Thus, the number that \((-8)/(15)\) should be multiplied by to get 24 is:
\[ \boxed{-45} \]

---