`(0.125+0.027)/(0.5xx0.5-0.15+0.09)=?`

Options

A. 0.08
B. 1
C. 0.2
D. 0.8

Answer

To solve the expression \((0.125 + 0.027) / (0.5 \times 0.5 - 0.15 + 0.09)\), we will follow these steps:

### Step 1: Calculate the numerator
The numerator is \(0.125 + 0.027\).

\[ 0.125 + 0.027 = 0.152 \]

### Step 2: Calculate the denominator
The denominator is \(0.5 \times 0.5 - 0.15 + 0.09\).

First, calculate \(0.5 \times 0.5\):

\[ 0.5 \times 0.5 = 0.25 \]

Now substitute this back into the denominator:

\[ 0.25 - 0.15 + 0.09 \]

Now, perform the subtraction and addition step by step:

1. \(0.25 - 0.15 = 0.10\)
2. \(0.10 + 0.09 = 0.19\)

So, the denominator is \(0.19\).

### Step 3: Divide the numerator by the denominator
Now we divide the result from Step 1 by the result from Step 2:

\[ \frac{0.152}{0.19} \]

To perform this division, we can convert both numbers into fractions:

\[ 0.152 = \frac{152}{1000}, \quad 0.19 = \frac{19}{100} \]

Now, dividing these fractions:

\[ \frac{152}{1000} \div \frac{19}{100} = \frac{152}{1000} \times \frac{100}{19} = \frac{152 \times 100}{1000 \times 19} = \frac{152}{190} = \frac{76}{95} \approx 0.8 \]

Thus, the final answer is:

\[ \boxed{0.8} \]