Evaluate: `(6)/((-8))xx(3)/((-4))`

Answer

To evaluate the expression \(\frac{6}{-8} \times \frac{3}{-4}\), we will follow these steps:

### Step 1: Rewrite the fractions
We can rewrite the fractions with negative signs:
\[ \frac{6}{-8} = -\frac{6}{8} \quad \text{and} \quad \frac{3}{-4} = -\frac{3}{4} \]
So the expression becomes:
\[ -\frac{6}{8} \times -\frac{3}{4} \]

### Step 2: Multiply the fractions
When we multiply two negative fractions, the result will be positive:
\[ -\frac{6}{8} \times -\frac{3}{4} = \frac{6 \times 3}{8 \times 4} \]

### Step 3: Calculate the numerator and denominator
Now we calculate the numerator and denominator:
\[ 6 \times 3 = 18 \quad \text{and} \quad 8 \times 4 = 32 \]
So we have:
\[ \frac{18}{32} \]

### Step 4: Simplify the fraction
Next, we simplify \(\frac{18}{32}\) by finding the greatest common divisor (GCD) of 18 and 32. The GCD is 2.
\[ \frac{18 \div 2}{32 \div 2} = \frac{9}{16} \]

### Final Answer
Thus, the value of \(\frac{6}{-8} \times \frac{3}{-4}\) is:
\[ \frac{9}{16} \]

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