convert the following fractions into percentages ,
`11/15`

Answer

To convert the fraction \( \frac{11}{15} \) into a percentage, follow these steps:

### Step 1: Understand the formula
To convert a fraction to a percentage, you multiply the fraction by 100.

### Step 2: Set up the equation
We start with the fraction \( \frac{11}{15} \). We will multiply it by 100:
\[ \frac{11}{15} \times 100 \]

### Step 3: Simplify the multiplication
Next, we can simplify the multiplication:
\[ \frac{11 \times 100}{15} \]

### Step 4: Calculate \( 11 \times 100 \)
Calculating \( 11 \times 100 \):
\[ 11 \times 100 = 1100 \]
So now we have:
\[ \frac{1100}{15} \]

### Step 5: Divide \( 1100 \) by \( 15 \)
Now we will perform the division:
\[ 1100 \div 15 \]

To simplify this, we can perform long division.
- 15 goes into 1100 about 73 times (since \( 15 \times 73 = 1095 \)).
- Subtract \( 1095 \) from \( 1100 \) to get \( 5 \).
- So, we have \( 73 \) with a remainder of \( 5 \).

### Step 6: Convert remainder to decimal
To convert the remainder into a decimal, we can express it as:
\[ \frac{5}{15} = \frac{1}{3} \approx 0.33 \]

### Step 7: Combine the whole number and decimal
Now, we can combine the whole number and the decimal:
\[ 73 + 0.33 = 73.33 \]

### Step 8: Final answer
Thus, \( \frac{11}{15} \) as a percentage is approximately:
\[ 73.33\% \]

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