8 2/3% = [insert fraction answer]

(SHOW ALL WORK)

8 2/3% = (8 2/3)/100 = (26/3)/100 = 26/300 = 13/150

Thx!

To convert a percentage to a fraction, follow these steps:

Step 1: Convert the percentage to a decimal:
To convert 8 2/3% to a decimal, divide the given percentage by 100.
8 2/3% = 8\frac{2}{3}\% = \frac{8}{1} \times \frac{2}{3} \times \frac{1}{100}

To multiply fractions, multiply the numerators (top numbers) and the denominators (bottom numbers).
\frac{8}{1} \times \frac{2}{3} \times \frac{1}{100} = \frac{8 \times 2 \times 1}{1 \times 3 \times 100}

Simplifying the numerator and denominator:
\frac{8 \times 2 \times 1}{1 \times 3 \times 100} = \frac{16}{3 \times 100}

Step 2: Simplify the fraction, if possible:
In this case, the fraction cannot be simplified further.

So, 8 2/3% can be written as a fraction:
8 2/3% = \frac{16}{3 \times 100}

To separate the numerator and denominator, you can use the times symbol (×) instead of a fraction bar.

Therefore, 8 2/3% = \frac{16}{300}