Simplify:- 3/11 of 5/7 of (?) = 63

Options

A. a. 3134
B. b. 312.4
C. c. 3100
D. d. 323.4

Answer

To solve the equation \( \frac{3}{11} \times \frac{5}{7} \times (?) = 63 \), we will follow these steps:

### Step 1: Rewrite the equation
We start with the equation:
\[ \frac{3}{11} \times \frac{5}{7} \times (?) = 63 \]

### Step 2: Isolate the question mark
To isolate the question mark (?), we can rearrange the equation:
\[ ? = 63 \div \left(\frac{3}{11} \times \frac{5}{7}\right) \]

### Step 3: Calculate \( \frac{3}{11} \times \frac{5}{7} \)
Now, we will calculate \( \frac{3}{11} \times \frac{5}{7} \):
\[ \frac{3 \times 5}{11 \times 7} = \frac{15}{77} \]

### Step 4: Substitute back into the equation
Substituting this back into our equation gives:
\[ ? = 63 \div \frac{15}{77} \]

### Step 5: Dividing by a fraction
Dividing by a fraction is the same as multiplying by its reciprocal:
\[ ? = 63 \times \frac{77}{15} \]

### Step 6: Calculate \( 63 \times \frac{77}{15} \)
Now we will calculate \( 63 \times \frac{77}{15} \):
\[ ? = \frac{63 \times 77}{15} \]

### Step 7: Calculate \( 63 \times 77 \)
Calculating \( 63 \times 77 \):
\[ 63 \times 77 = 4851 \]

### Step 8: Divide by 15
Now we divide \( 4851 \) by \( 15 \):
\[ ? = \frac{4851}{15} = 323.4 \]

### Step 9: Final answer
Since we are looking for a whole number, we can round down to:
\[ ? = 323 \]

### Conclusion
Thus, the value of the question mark is:
\[ \boxed{323} \]

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