What is the multiplication of `- (6)/(9) and (9)/(6)` ?

Options

A. `3`
B. `-1`
C. `-6/9`
D. `-9/6`

Answer

To solve the multiplication of \(-\frac{6}{9}\) and \(\frac{9}{6}\), we can follow these steps:

### Step 1: Write down the multiplication
We start with the expression:
\[ -\frac{6}{9} \times \frac{9}{6} \]

### Step 2: Multiply the numerators and the denominators
When multiplying fractions, we multiply the numerators together and the denominators together:
\[ = \frac{-6 \times 9}{9 \times 6} \]

### Step 3: Simplify the fraction
Now we can simplify the fraction. Notice that \(9\) in the numerator and denominator can be cancelled out, and \(6\) in the numerator and denominator can also be cancelled out:
\[ = \frac{-\cancel{6} \times \cancel{9}}{\cancel{9} \times \cancel{6}} = \frac{-1}{1} \]

### Step 4: Final result
Now we have:
\[ = -1 \]

Thus, the multiplication of \(-\frac{6}{9}\) and \(\frac{9}{6}\) is \(-1\).

### Final Answer
The final answer is:
\[ -1 \]

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