Rewrite the rational number is the simplest form :
`(-8)/(10)`

Answer

To rewrite the rational number \(-\frac{8}{10}\) in its simplest form, follow these steps:

### Step 1: Identify the numerator and denominator
The given rational number is \(-\frac{8}{10}\). Here, the numerator is \(-8\) and the denominator is \(10\).

### Step 2: Find the greatest common divisor (GCD)
To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of \(8\) and \(10\) is \(2\).

### Step 3: Divide both the numerator and the denominator by the GCD
Now, we will divide both the numerator and the denominator by their GCD, which is \(2\):

\[ \text{Numerator: } -8 \div 2 = -4 \]
\[ \text{Denominator: } 10 \div 2 = 5 \]

### Step 4: Write the simplified fraction
After dividing, we get:

\[ -\frac{8}{10} = -\frac{4}{5} \]

### Conclusion
Thus, the simplest form of the rational number \(-\frac{8}{10}\) is \(-\frac{4}{5}\).

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