Express `(-48)/(60)` as a rational number with denominator `5.`

Options

A. `(-4)/(9) `
B. `(-4)/(7) `
C. `(-4)/(5) `
D. `(-6)/(5) `

Answer

To express \(-\frac{48}{60}\) as a rational number with a denominator of \(5\), we can follow these steps:

### Step 1: Simplify the Fraction
First, we need to simplify the fraction \(-\frac{48}{60}\). We can do this by finding the greatest common divisor (GCD) of the numerator and the denominator.

The GCD of \(48\) and \(60\) is \(12\).

Now, we divide both the numerator and the denominator by \(12\):

\[ -\frac{48 \div 12}{60 \div 12} = -\frac{4}{5} \]

### Step 2: Verify the Denominator
Now, we check if the denominator is \(5\).

Yes, the simplified fraction is \(-\frac{4}{5}\), which has a denominator of \(5\).

### Final Answer
Thus, \(-\frac{48}{60}\) expressed as a rational number with a denominator of \(5\) is:

\[ -\frac{4}{5} \]

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