Simplify 437 bxaz/23ab.

Options

A. 17 xzy
B. 9xz
C. 19 xz
D. 19ab

Answer

To simplify the expression \( \frac{437 \, bxaz}{23ab} \), we will follow these steps:

### Step 1: Cancel common factors
The expression can be rewritten as:
\[ \frac{437 \, b \, x \, a \, z}{23 \, a \, b} \]
We can see that \( a \) and \( b \) are common factors in the numerator and denominator. Therefore, we can cancel them out:
\[ \frac{437 \, \cancel{b} \, x \, \cancel{a} \, z}{23 \, \cancel{a} \, \cancel{b}} = \frac{437 \, x \, z}{23} \]

### Step 2: Divide 437 by 23
Next, we need to divide 437 by 23. Performing the division:
\[ 437 \div 23 = 19 \]
This means that 23 goes into 437 exactly 19 times with no remainder.

### Step 3: Write the simplified expression
After performing the division, we can rewrite the expression:
\[ \frac{437 \, x \, z}{23} = 19 \, x \, z \]

### Final Answer
Thus, the simplified expression is:
\[ 19xz \]

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