Simplify : `(("533 bxaz"))/(("41 ab"))`

Options

A. 17 xzb
B. 19 xz
C. 13 xz
D. 31 ab

Answer

To simplify the expression \(\frac{533 \, bxaz}{41 \, ab}\), we will follow these steps:

### Step 1: Write the expression clearly
We start with the expression:
\[ \frac{533 \, bxaz}{41 \, ab} \]

### Step 2: Separate the coefficients and variables
We can separate the numerical coefficients from the variables:
\[ \frac{533}{41} \cdot \frac{bxaz}{ab} \]

### Step 3: Simplify the numerical coefficients
Now, we simplify the numerical part:
\[ \frac{533}{41} = 13 \]
So, we have:
\[ 13 \cdot \frac{bxaz}{ab} \]

### Step 4: Simplify the variable part
Next, we simplify the variable part \(\frac{bxaz}{ab}\):
- The \(b\) in the numerator and denominator cancels out.
- The \(a\) in the numerator cancels with \(a\) in the denominator.

This leaves us with:
\[ \frac{xz}{1} = xz \]

### Step 5: Combine the results
Now, we combine the numerical coefficient with the simplified variable part:
\[ 13 \cdot xz = 13xz \]

### Final Answer
Thus, the simplified expression is:
\[ \boxed{13xz} \]