Express `(33)/(-44)` in standard form.

Options

A. `(-3)/(4)`
B. `(-5)/(4)`
C. `(-7)/(4)`
D. `(3)/(4)`

Answer

To express \(\frac{33}{-44}\) in standard form, follow these steps:

### Step 1: Identify the fraction
We start with the fraction:
\[ \frac{33}{-44} \]

### Step 2: Simplify the fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator (33) and the denominator (-44).

The factors of 33 are:
- \(1, 3, 11, 33\)

The factors of 44 are:
- \(1, 2, 4, 11, 22, 44\)

The common factor is:
- \(11\)

### Step 3: Divide the numerator and denominator by their GCD
Now, we divide both the numerator and the denominator by their GCD (11):
\[ \frac{33 \div 11}{-44 \div 11} = \frac{3}{-4} \]

### Step 4: Write in standard form
The fraction \(\frac{3}{-4}\) can be rewritten as:
\[ -\frac{3}{4} \]

### Final Answer
Thus, the standard form of \(\frac{33}{-44}\) is:
\[ -\frac{3}{4} \]

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