The value of `(6.25 + 6/7 of 21 - 3)/(3/4 of (15.8-3.4) + 5 xx 2.39)` is:

Options

A. `0`
B. `1`
C. `11/5`
D. `17/5`

Answer

To solve the expression \((6.25 + \frac{6}{7} \text{ of } 21 - 3) / (\frac{3}{4} \text{ of } (15.8 - 3.4) + 5 \times 2.39)\), we will break it down into the numerator and the denominator and solve each part step by step.

### Step 1: Solve the Numerator

1. **Identify the expression**:
\[ 6.25 + \frac{6}{7} \text{ of } 21 - 3 \]

2. **Calculate \(\frac{6}{7} \text{ of } 21\)**:
\[ \frac{6}{7} \times 21 = \frac{6 \times 21}{7} = \frac{126}{7} = 18 \]

3. **Substitute back into the numerator**:
\[ 6.25 + 18 - 3 \]

4. **Perform the addition and subtraction**:
- First, add \(6.25 + 18 = 24.25\)
- Then, subtract \(24.25 - 3 = 21.25\)

So, the value of the numerator is:
\[ \text{Numerator} = 21.25 \]

### Step 2: Solve the Denominator

1. **Identify the expression**:
\[ \frac{3}{4} \text{ of } (15.8 - 3.4) + 5 \times 2.39 \]

2. **Calculate \(15.8 - 3.4\)**:
\[ 15.8 - 3.4 = 12.4 \]

3. **Calculate \(\frac{3}{4} \text{ of } 12.4\)**:
\[ \frac{3}{4} \times 12.4 = \frac{3 \times 12.4}{4} = \frac{37.2}{4} = 9.3 \]

4. **Calculate \(5 \times 2.39\)**:
\[ 5 \times 2.39 = 11.95 \]

5. **Substitute back into the denominator**:
\[ 9.3 + 11.95 \]

6. **Perform the addition**:
\[ 9.3 + 11.95 = 21.25 \]

So, the value of the denominator is:
\[ \text{Denominator} = 21.25 \]

### Step 3: Combine the Results

Now we can combine the results of the numerator and denominator:
\[ \frac{21.25}{21.25} = 1 \]

### Final Answer:
The value of the expression is:
\[ \boxed{1} \]