Express each of the following as a percentage :
`1/(6)`

Answer

To express \( \frac{1}{6} \) as a percentage, follow these steps:

### Step 1: Multiply by 100
To convert a fraction to a percentage, multiply it by 100.

\[ \frac{1}{6} \times 100 \]

### Step 2: Simplify the Expression
Now, simplify the expression:

\[ \frac{100}{6} \]

### Step 3: Reduce the Fraction
Next, we can simplify \( \frac{100}{6} \) by dividing both the numerator and the denominator by their greatest common divisor, which is 2:

\[ \frac{100 \div 2}{6 \div 2} = \frac{50}{3} \]

### Step 4: Divide to Find the Percentage
Now, divide 50 by 3 to convert it into a decimal:

\[ 50 \div 3 = 16.6667 \text{ (approximately)} \]

### Step 5: Convert to Percentage
To express this as a percentage, we can write:

\[ 16.6667 \approx 16 \frac{2}{3} \% \]

Thus, the percentage representation of \( \frac{1}{6} \) is:

\[ 16 \frac{2}{3} \% \]

### Summary
Therefore, \( \frac{1}{6} \) expressed as a percentage is \( 16 \frac{2}{3} \% \).

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