What ist he value of
`( 3 . 6 xx 1 . 62 + 0.48 xx 3 . 6)/( 1.8 xx 0 . 8 + 10 . 8 xx 0 . 3 - 2 . 16 )` ?

Options

A. 2.4
B. 2
C. 4
D. 3

Answer

To solve the expression

\[ \frac{(3.6 \times 1.62 + 0.48 \times 3.6)}{(1.8 \times 0.8 + 10.8 \times 0.3 - 2.16)} \]

we will break it down step by step.

### Step 1: Calculate the numerator

First, we need to calculate the two products in the numerator:

1. **Calculate \(3.6 \times 1.62\)**:
\[ 3.6 \times 1.62 = 5.832 \]

2. **Calculate \(0.48 \times 3.6\)**:
\[ 0.48 \times 3.6 = 1.728 \]

Now, add these two results together:
\[ 5.832 + 1.728 = 7.56 \]

### Step 2: Calculate the denominator

Next, we calculate the denominator:

1. **Calculate \(1.8 \times 0.8\)**:
\[ 1.8 \times 0.8 = 1.44 \]

2. **Calculate \(10.8 \times 0.3\)**:
\[ 10.8 \times 0.3 = 3.24 \]

Now, add these two results and subtract \(2.16\):
\[ 1.44 + 3.24 - 2.16 = 2.52 \]

### Step 3: Combine the results

Now, we can combine the results from the numerator and the denominator:
\[ \frac{7.56}{2.52} \]

### Step 4: Perform the division

Finally, we perform the division:
\[ \frac{7.56}{2.52} = 3 \]

Thus, the value of the expression is

\[ \boxed{3} \]