`(3)/(4) xx" 26% "of " 850=?`

Options

A. 165.75
B. 160.35
C. 163.75
D. 167.75

Explanation

To solve the question `(3)/(4) x 26% of 850`, we can follow these steps:

### Step 1: Convert the percentage to a fraction
First, we need to convert 26% into a fraction.
\[ 26\% = \frac{26}{100} \]

### Step 2: Calculate 26% of 850
Next, we will calculate 26% of 850 using the fraction we just found:
\[ 26\% \text{ of } 850 = \frac{26}{100} \times 850 \]

### Step 3: Simplify the multiplication
Now, we can simplify the multiplication:
\[ \frac{26 \times 850}{100} \]
To simplify, we can divide 850 by 100:
\[ 850 \div 100 = 8.5 \]
So, we have:
\[ 26 \times 8.5 \]

### Step 4: Perform the multiplication
Now, we multiply:
\[ 26 \times 8.5 = 221 \]

### Step 5: Multiply by \(\frac{3}{4}\)
Now we need to multiply the result by \(\frac{3}{4}\):
\[ \frac{3}{4} \times 221 \]

### Step 6: Calculate \(\frac{3}{4} \times 221\)
To do this, we can multiply 221 by 3 and then divide by 4:
\[ 221 \times 3 = 663 \]
Now, divide by 4:
\[ \frac{663}{4} = 165.75 \]

### Final Answer
Thus, the final answer is:
\[ \frac{3}{4} \times 26\% \text{ of } 850 = 165.75 \]

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