Write `(33)/(-55)` in standard form is

Options

A. `(3)/(-55)`
B. `(-3)/(5)`
C. `(-33)/(55)`
D. none of these

Answer

To write \( \frac{33}{-55} \) in standard form, we will simplify the fraction step by step.

### Step 1: Identify the fraction
We start with the fraction:
\[ \frac{33}{-55} \]

### Step 2: Factor out the common factor
Next, we need to find the greatest common divisor (GCD) of the numerator (33) and the denominator (-55). The common factor here is 11.

### Step 3: Divide both numerator and denominator by the common factor
Now, we divide both the numerator and the denominator by 11:
\[ \frac{33 \div 11}{-55 \div 11} = \frac{3}{-5} \]

### Step 4: Write in standard form
The fraction \( \frac{3}{-5} \) can also be written as:
\[ -\frac{3}{5} \]

Thus, the standard form of \( \frac{33}{-55} \) is:
\[ -\frac{3}{5} \]

### Final Answer
The standard form of \( \frac{33}{-55} \) is \( -\frac{3}{5} \).

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