Convert the following percentages into fractions :
`66(2)/(3)%`

Answer

To convert the percentage \( 66\frac{2}{3}\% \) into a fraction, we can follow these steps:

### Step 1: Convert the mixed number to an improper fraction
First, we need to convert \( 66\frac{2}{3} \) into an improper fraction.

- The whole number part is 66, and the fractional part is \( \frac{2}{3} \).
- To convert it, we multiply the whole number by the denominator and add the numerator:
\[ 66 \times 3 + 2 = 198 + 2 = 200 \]
- Thus, \( 66\frac{2}{3} \) can be written as:
\[ \frac{200}{3} \]

### Step 2: Write the percentage as a fraction
Now, we can express \( 66\frac{2}{3}\% \) as a fraction:
\[ 66\frac{2}{3}\% = \frac{200}{3}\% \]
This means \( \frac{200}{3} \) out of 100.

### Step 3: Convert the percentage to a fraction
To convert from percentage to fraction, we divide by 100:
\[ \frac{200}{3} \times \frac{1}{100} = \frac{200}{300} \]

### Step 4: Simplify the fraction
Now we simplify \( \frac{200}{300} \):
- Both the numerator and the denominator can be divided by 100:
\[ \frac{200 \div 100}{300 \div 100} = \frac{2}{3} \]

### Final Answer
Thus, \( 66\frac{2}{3}\% \) as a fraction is:
\[ \frac{2}{3} \]

---