Express each of the following as a fraction :
`6(2)/(3)%`

Answer

To express \( 6 \frac{2}{3} \% \) as a fraction, we can follow these steps:

### Step 1: Convert the mixed number to an improper fraction
First, we need to convert \( 6 \frac{2}{3} \) into an improper fraction. To do this, we multiply the whole number by the denominator and add the numerator.

\[ 6 \frac{2}{3} = \frac{(6 \times 3) + 2}{3} = \frac{18 + 2}{3} = \frac{20}{3} \]

### Step 2: Convert the percentage to a fraction
Next, we need to express \( \frac{20}{3} \% \) as a fraction. Recall that percent means "per hundred," so we can write:

\[ \frac{20}{3} \% = \frac{20}{3} \times \frac{1}{100} = \frac{20}{3 \times 100} = \frac{20}{300} \]

### Step 3: Simplify the fraction
Now, we simplify \( \frac{20}{300} \). We can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 20.

\[ \frac{20 \div 20}{300 \div 20} = \frac{1}{15} \]

### Final Answer
Thus, \( 6 \frac{2}{3} \% \) expressed as a fraction is:

\[ \frac{1}{15} \]

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