`(69-14xx3+2)/(9xx5-(5)^2)=?`

Options

A. 1.45
B. 2.75
C. 26.5
D. 265

Answer

To solve the expression \((69 - 14 \times 3 + 2) / (9 \times 5 - (5)^2)\), we will follow these steps:

### Step 1: Simplify the Numerator
The numerator is \(69 - 14 \times 3 + 2\).

1. Calculate \(14 \times 3\):
\[ 14 \times 3 = 42 \]
2. Substitute back into the numerator:
\[ 69 - 42 + 2 \]
3. Perform the subtraction and addition:
\[ 69 - 42 = 27 \]
\[ 27 + 2 = 29 \]

So, the numerator simplifies to \(29\).

### Step 2: Simplify the Denominator
The denominator is \(9 \times 5 - (5)^2\).

1. Calculate \(9 \times 5\):
\[ 9 \times 5 = 45 \]
2. Calculate \((5)^2\):
\[ (5)^2 = 25 \]
3. Substitute back into the denominator:
\[ 45 - 25 \]
4. Perform the subtraction:
\[ 45 - 25 = 20 \]

So, the denominator simplifies to \(20\).

### Step 3: Divide the Numerator by the Denominator
Now we have:
\[ \frac{29}{20} \]

### Final Result
The simplified expression is:
\[ \frac{29}{20} \]