`7/12`of 23% of 720 =?

Options

A. 86.6
B. 96.6
C. 144.8
D. 156.6

Answer

To solve the expression \( \frac{7}{12} \) of \( 23\% \) of \( 720 \), we will follow these steps:

### Step 1: Convert the percentage to a fraction
First, we need to convert \( 23\% \) into a fraction.
\[ 23\% = \frac{23}{100} \]

### Step 2: Set up the expression
Now we can set up the expression using the fraction we just calculated:
\[ \frac{7}{12} \times \frac{23}{100} \times 720 \]

### Step 3: Simplify the expression
Next, we can simplify the expression. We can cancel out the zeros in \( 720 \) and \( 100 \):
\[ 720 = 7200 \div 100 \Rightarrow 720 \div 100 = 7.2 \]
So, we rewrite the expression as:
\[ \frac{7}{12} \times 23 \times 7.2 \]

### Step 4: Calculate \( \frac{7}{12} \times 7.2 \)
Now we will calculate \( \frac{7}{12} \times 7.2 \):
\[ \frac{7 \times 7.2}{12} = \frac{50.4}{12} \]
Now, divide \( 50.4 \) by \( 12 \):
\[ 50.4 \div 12 = 4.2 \]

### Step 5: Multiply by \( 23 \)
Now we multiply the result by \( 23 \):
\[ 4.2 \times 23 = 96.6 \]

### Final Answer
Thus, the final answer is:
\[ \frac{7}{12} \text{ of } 23\% \text{ of } 720 = 96.6 \]