Question

How do I convert a fraction percent like these ones 8 1/2% and 9 3/4% to decimals?

My question is how do I convert any mixed number percent to decimals, what is the formula for it?

Answer 1

See a solution process below:

Explanation:

First, convert the mixed numbers to a decimal:

`8 1/2 => 8 + 1/2 => 8 + 0.5 => 8.5`

`9 3/4 => 9 + 3/4 => 9 + 0.75 => 9.75`

"Percent" or "%" means "out of 100" or "per 100",

Therefore

• 8.5% can be written as `8.5/100`

• 9.75% can be written as `9.75/100`

Now, divide each numerator by 100, or, in other words, move the decimal point 2 places to the left:

`8 1/2% => 8.5/100 => 0.085`

`9 3/4% => 9.75/100 => 0.0975`