The product of two numbers is -8. If one of them is -12, find the other.

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Understand the problem
We know that the product of two numbers is -8, and one of those numbers is -12. We need to find the other number.

### Step 2: Set up the equation
Let the other number be represented by \( x \). According to the problem, we can write the equation:
\[ -12 \times x = -8 \]

### Step 3: Isolate \( x \)
To find \( x \), we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by -12:
\[ x = \frac{-8}{-12} \]

### Step 4: Simplify the fraction
Now, we simplify the fraction:
\[ x = \frac{8}{12} \]

### Step 5: Reduce the fraction to its simplest form
To reduce \( \frac{8}{12} \), we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 4:
\[ x = \frac{8 \div 4}{12 \div 4} = \frac{2}{3} \]

### Step 6: State the final answer
Thus, the other number is:
\[ \text{The other number is } \frac{2}{3}. \]

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