What is 4 1/4% as a fraction in simplest form?

11 answers

To convert the percentage \(4 \frac{1}{4}%\) into a fraction in simplest form, follow these steps:

  1. First, convert the mixed number \(4 \frac{1}{4}\) into an improper fraction: \[ 4 \frac{1}{4} = 4 + \frac{1}{4} = \frac{16}{4} + \frac{1}{4} = \frac{17}{4} \]

  2. Next, convert the percentage into a fraction: \[ 4 \frac{1}{4}% = \frac{17}{4} \div 100 = \frac{17}{4} \times \frac{1}{100} = \frac{17}{400} \]

  3. Now, we need to simplify the fraction \(\frac{17}{400}\). Since 17 is a prime number and does not divide 400, the fraction is already in simplest form.

Thus, \(4 \frac{1}{4}%\) as a fraction in simplest form is: \[ \frac{17}{400} \]

what is my answer

Your answer is \( \frac{17}{400} \). This represents \( 4 \frac{1}{4}% \) as a fraction in simplest form.

just numbers

17/400

In simplest form!!

The fraction \( \frac{17}{400} \) is already in its simplest form. There are no common factors between 17 and 400.

So, the final answer remains: 17/400

Correct

Great! If you have any more questions or need further assistance, feel free to ask!

What is 0.8% written as a decimal?

To convert a percentage to a decimal, divide the percentage by 100.

For \( 0.8% \):

\[ 0.8% = \frac{0.8}{100} = 0.008 \]

So, \( 0.8% \) written as a decimal is \( 0.008 \).