What should come in place of the question mark (?) in the following questions ?
`( 9 div 2 xx 27 div 9) / (18 div 7.5 xx 5 div 4) = ?`

Options

A. 4.5
B. 5.7
C. 2.5
D. 6.8

Answer

To solve the equation \((9 \div 2 \times 27 \div 9) / (18 \div 7.5 \times 5 \div 4) = ?\), we will break it down step by step.

### Step 1: Simplify the Numerator
The numerator is \(9 \div 2 \times 27 \div 9\).

1. Calculate \(9 \div 2\):
\[ 9 \div 2 = 4.5 \]

2. Calculate \(27 \div 9\):
\[ 27 \div 9 = 3 \]

3. Now, multiply the results:
\[ 4.5 \times 3 = 13.5 \]

### Step 2: Simplify the Denominator
The denominator is \(18 \div 7.5 \times 5 \div 4\).

1. Calculate \(18 \div 7.5\):
\[ 18 \div 7.5 = 2.4 \]

2. Calculate \(5 \div 4\):
\[ 5 \div 4 = 1.25 \]

3. Now, multiply the results:
\[ 2.4 \times 1.25 = 3 \]

### Step 3: Divide the Numerator by the Denominator
Now we have the simplified numerator and denominator:
\[ \frac{13.5}{3} \]

1. Calculate:
\[ 13.5 \div 3 = 4.5 \]

### Final Answer
Thus, the value that should come in place of the question mark (?) is:
\[ \boxed{4.5} \]

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