`(3)/(5) ` of `(2)/(7) ` of ?=426

Options

A. 2490
B. 2565
C. 2475
D. 2485

Explanation

To solve the equation \(\frac{3}{5} \times \frac{2}{7} \times ? = 426\), we can follow these steps:

### Step 1: Set up the equation
We start with the equation:
\[ \frac{3}{5} \times \frac{2}{7} \times x = 426 \]

### Step 2: Multiply the fractions
Next, we multiply the fractions \(\frac{3}{5}\) and \(\frac{2}{7}\):
\[ \frac{3 \times 2}{5 \times 7} = \frac{6}{35} \]
So the equation now becomes:
\[ \frac{6}{35} \times x = 426 \]

### Step 3: Isolate \(x\)
To isolate \(x\), we can multiply both sides of the equation by the reciprocal of \(\frac{6}{35}\), which is \(\frac{35}{6}\):
\[ x = 426 \times \frac{35}{6} \]

### Step 4: Calculate \(426 \div 6\)
First, we calculate \(426 \div 6\):
\[ 426 \div 6 = 71 \]

### Step 5: Multiply by 35
Now we multiply the result by 35:
\[ x = 71 \times 35 \]

### Step 6: Calculate \(71 \times 35\)
Now we perform the multiplication:
\[ 71 \times 35 = 2485 \]

### Final Answer
Thus, the value of \(x\) is:
\[ \boxed{2485} \]

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