What value will come in place of question mark (?) in the questions given below ?
`7(3)/(5)-4(2)/(5)+8(4)/(5)=?`

Options

A. 17
B. 12
C. `12(1)/(5)`
D. `13(2)/(5)`

Answer

To solve the equation \( 7\frac{3}{5} - 4\frac{2}{5} + 8\frac{4}{5} = ? \), we will follow these steps:

### Step 1: Convert Mixed Numbers to Improper Fractions
First, we convert the mixed numbers into improper fractions.

1. For \( 7\frac{3}{5} \):
\[ 7\frac{3}{5} = \frac{7 \times 5 + 3}{5} = \frac{35 + 3}{5} = \frac{38}{5} \]

2. For \( 4\frac{2}{5} \):
\[ 4\frac{2}{5} = \frac{4 \times 5 + 2}{5} = \frac{20 + 2}{5} = \frac{22}{5} \]

3. For \( 8\frac{4}{5} \):
\[ 8\frac{4}{5} = \frac{8 \times 5 + 4}{5} = \frac{40 + 4}{5} = \frac{44}{5} \]

### Step 2: Substitute the Improper Fractions into the Equation
Now, we substitute these improper fractions back into the equation:
\[ \frac{38}{5} - \frac{22}{5} + \frac{44}{5} \]

### Step 3: Combine the Fractions
Since all fractions have the same denominator, we can combine them easily:
\[ \frac{38 - 22 + 44}{5} \]

### Step 4: Perform the Operations in the Numerator
Now, we perform the operations in the numerator:
1. First, calculate \( 38 - 22 \):
\[ 38 - 22 = 16 \]
2. Then, add \( 44 \):
\[ 16 + 44 = 60 \]

So we have:
\[ \frac{60}{5} \]

### Step 5: Simplify the Fraction
Now we simplify \( \frac{60}{5} \):
\[ \frac{60}{5} = 12 \]

### Final Answer
Thus, the value that comes in place of the question mark (?) is:
\[ \boxed{12} \]