What value should come in place of the question mark (?) in the following question?
`2(3)/(7)-2(1)/(4)-1(1)/(4)+1(1)/(28)=?`

Options

A. `1/7`
B. `1(1)/(7)`
C. `1(1)/(14)`
D. None of these

Explanation

To solve the equation \( 2\frac{3}{7} - 2\frac{1}{4} - 1\frac{1}{4} + 1\frac{1}{28} = ? \), we will follow these steps:

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

1. \( 2\frac{3}{7} = \frac{2 \times 7 + 3}{7} = \frac{14 + 3}{7} = \frac{17}{7} \)
2. \( 2\frac{1}{4} = \frac{2 \times 4 + 1}{4} = \frac{8 + 1}{4} = \frac{9}{4} \)
3. \( 1\frac{1}{4} = \frac{1 \times 4 + 1}{4} = \frac{4 + 1}{4} = \frac{5}{4} \)
4. \( 1\frac{1}{28} = \frac{1 \times 28 + 1}{28} = \frac{28 + 1}{28} = \frac{29}{28} \)

Now, we can rewrite the equation:
\[ \frac{17}{7} - \frac{9}{4} - \frac{5}{4} + \frac{29}{28} \]

### Step 2: Combine Like Terms
Next, we will combine the fractions. To do this, we need a common denominator. The least common multiple (LCM) of 7, 4, and 28 is 28.

1. Convert \( \frac{17}{7} \) to have a denominator of 28:
\[ \frac{17}{7} = \frac{17 \times 4}{7 \times 4} = \frac{68}{28} \]

2. Convert \( \frac{9}{4} \) to have a denominator of 28:
\[ \frac{9}{4} = \frac{9 \times 7}{4 \times 7} = \frac{63}{28} \]

3. Convert \( \frac{5}{4} \) to have a denominator of 28:
\[ \frac{5}{4} = \frac{5 \times 7}{4 \times 7} = \frac{35}{28} \]

Now we can rewrite the equation:
\[ \frac{68}{28} - \frac{63}{28} - \frac{35}{28} + \frac{29}{28} \]

### Step 3: Perform the Operations
Now we can combine the fractions:
\[ \frac{68 - 63 - 35 + 29}{28} = \frac{68 - 63 = 5}{28} - \frac{35}{28} + \frac{29}{28} \]
\[ = \frac{5 - 35 + 29}{28} = \frac{-30 + 29}{28} = \frac{-1}{28} \]

### Final Answer
Thus, the value that should come in place of the question mark (?) is:
\[ \boxed{-\frac{1}{28}} \]