The percentage of `17/15` is equal to:

Options

A. 0.34
B. 0.68
C. 0.17
D. 0.25

Answer

To find the percentage of \( \frac{17}{15} \), we can follow these steps:

### Step 1: Convert the fraction to a percentage
To convert a fraction to a percentage, we multiply it by 100. So, we can write:

\[ \text{Percentage} = \frac{17}{15} \times 100 \]

### Step 2: Simplify the multiplication
Now, we can simplify \( \frac{17}{15} \times 100 \):

\[ = \frac{17 \times 100}{15} \]

### Step 3: Calculate \( 17 \times 100 \)
Calculating \( 17 \times 100 \):

\[ = 1700 \]

### Step 4: Divide by 15
Now we need to divide 1700 by 15:

\[ = \frac{1700}{15} \]

### Step 5: Perform the division
To perform the division, we can calculate:

1. \( 15 \) goes into \( 17 \) once (1), leaving a remainder of \( 2 \).
2. Bring down the \( 0 \) to make it \( 20 \).
3. \( 15 \) goes into \( 20 \) once (1), leaving a remainder of \( 5 \).
4. Bring down the next \( 0 \) to make it \( 50 \).
5. \( 15 \) goes into \( 50 \) three times (3), leaving a remainder of \( 5 \).
6. This process will repeat, giving us a decimal.

So, we can write:

\[ \frac{1700}{15} = 113.3\overline{3} \]

### Step 6: Final answer
Thus, the percentage of \( \frac{17}{15} \) is:

\[ \text{Percentage} = 113.3\overline{3} \text{ or } 113.33\% \]

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