Rewrite the rational number is the simplest form :
`(-8)/(6)`

Answer

To rewrite the rational number \((-8)/(6)\) in its simplest form, follow these steps:

### Step 1: Identify the numerator and denominator
The numerator is \(-8\) and the denominator is \(6\).

### Step 2: Find the greatest common divisor (GCD)
To simplify the fraction, we need to find the GCD of the absolute values of the numerator and denominator. The absolute values are \(8\) and \(6\).
- The factors of \(8\) are \(1, 2, 4, 8\).
- The factors of \(6\) are \(1, 2, 3, 6\).
- The greatest common factor is \(2\).

### Step 3: Divide the numerator and denominator by the GCD
Now, divide both the numerator and the denominator by their GCD, which is \(2\):
- Numerator: \(-8 \div 2 = -4\)
- Denominator: \(6 \div 2 = 3\)

### Step 4: Write the simplified fraction
After dividing, we get the simplified fraction:
\[ \frac{-4}{3} \]

### Conclusion
The rational number \(\frac{-8}{6}\) in its simplest form is \(\frac{-4}{3}\).

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