Evaluate: `(9|3-5|-5|4|div10)/(-3(5)-2xx4div2)`

Options

A. `(9)/(10)`
B. `-(8)/(17)`
C. `-(16)/(19)`
D. `(4)/(7)`

Answer

To evaluate the expression `(9|3-5|-5|4|div10)/(-3(5)-2xx4div2)`, we will follow these steps:

### Step 1: Simplify the numerator
The numerator is `9|3-5|-5|4|div10`.

1. Calculate `3 - 5`:
\[ 3 - 5 = -2 \]
So, `|3 - 5| = |-2| = 2`.

2. Now substitute this back into the numerator:
\[ 9|3-5| = 9 \times 2 = 18 \]

3. Next, calculate `|-5|`:
\[ |-5| = 5 \]

4. Now calculate `|4|`:
\[ |4| = 4 \]

5. Substitute these into the numerator:
\[ 18 - 5 \times 4 \div 10 \]

6. Calculate `5 \times 4`:
\[ 5 \times 4 = 20 \]

7. Now substitute this back:
\[ 18 - 20 \div 10 \]

8. Calculate `20 \div 10`:
\[ 20 \div 10 = 2 \]

9. Finally, substitute this back:
\[ 18 - 2 = 16 \]

### Step 2: Simplify the denominator
The denominator is `-3(5) - 2xx4div2`.

1. Calculate `-3(5)`:
\[ -3 \times 5 = -15 \]

2. Now calculate `2 \times 4`:
\[ 2 \times 4 = 8 \]

3. Next, calculate `8 \div 2`:
\[ 8 \div 2 = 4 \]

4. Substitute these back into the denominator:
\[ -15 - 4 = -19 \]

### Step 3: Combine the results
Now we have:
\[ \text{Numerator} = 16 \]
\[ \text{Denominator} = -19 \]

So the expression becomes:
\[ \frac{16}{-19} = -\frac{16}{19} \]

### Final Answer
The final evaluated result is:
\[ -\frac{16}{19} \]