Evaluate: `((-7))/(18)xx(9)/(14)`

Answer

To evaluate the expression \(\frac{-7}{18} \times \frac{9}{14}\), we can follow these steps:

### Step 1: Write the expression
We start with the expression:
\[ \frac{-7}{18} \times \frac{9}{14} \]

### Step 2: Multiply the numerators and denominators
Next, we multiply the numerators together and the denominators together:
\[ \text{Numerator: } -7 \times 9 = -63 \]
\[ \text{Denominator: } 18 \times 14 = 252 \]
So, we have:
\[ \frac{-63}{252} \]

### Step 3: Simplify the fraction
Now, we need to simplify \(\frac{-63}{252}\). We can find the greatest common divisor (GCD) of 63 and 252.

The GCD of 63 and 252 is 63. Now we divide both the numerator and the denominator by their GCD:
\[ \frac{-63 \div 63}{252 \div 63} = \frac{-1}{4} \]

### Final Answer
Thus, the evaluated expression is:
\[ \frac{-1}{4} \]

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