`(44.60xx 2.50 )/(11xx 6 -(4)^(2))` =?

Options

A. 3
B. 2
C. 2.23
D. 5

Answer

To solve the expression \((44.60 \times 2.50) / (11 \times 6 - 4^2)\), we will follow these steps:

### Step 1: Remove the decimals
We can simplify the expression by removing the decimals.

\[ 44.60 = \frac{4460}{100} \quad \text{and} \quad 2.50 = \frac{250}{100} \]

So, we can rewrite the expression as:

\[ \frac{4460}{100} \times \frac{250}{100} \]

### Step 2: Multiply the numerators
Now, we multiply the numerators:

\[ 4460 \times 250 \]

Calculating this gives:

\[ 4460 \times 250 = 1115000 \]

### Step 3: Multiply the denominators
Next, we need to calculate the denominator \(11 \times 6 - 4^2\).

First, calculate \(11 \times 6\):

\[ 11 \times 6 = 66 \]

Now calculate \(4^2\):

\[ 4^2 = 16 \]

Now substitute back into the denominator:

\[ 66 - 16 = 50 \]

### Step 4: Combine the results
Now we can combine the results from Step 2 and Step 3:

\[ \frac{1115000}{10000} \quad \text{(since we have two denominators of 100)} \]

### Step 5: Simplify the fraction
Now we simplify:

\[ \frac{1115000}{10000} = 111.5 \]

### Step 6: Final result
Thus, the final result of the expression is:

\[ \boxed{111.5} \]