Question

How do I convert a mixed-number percentage to simplified?

Answer 1

Answer:

1/3

Step-by-step explanation:

So, for this you need to know two general things. How to convert from a mixed number to a decimal form (or improper fraction and then turn that into a decimal), and then to convert between fractions, decimals and percents. In math it becomes standard practice to use improper fractions rather than mixed numbers , just as a heads up.

Now first, to explain and in your problem, we want to convert a mixed number into a decimal form. With a mixed number you can think of it like addition. In your case it's 33 + 1/3. So our decimal form is going to be thirty three point something. If the fraction part was more than 1 (the numerator being greater than the denominator, so an improper fraction) it would actually change the non fraction number. So if it was 33 4/3 it would turn into 34 point something.

1/3 is simply .3 repeating, so this turns into 33.3% repeating. Now to get from a percent to whole decimal you just divide it by 100, or more simply move the decimal place to the left twice. This leaves us with .333 repeating or .3 repeating, since we are just adding two more 3s to it. Now, what does this mean? It's just 1/3.

Let me know if you would like a quick explanation for general rules in going between decimals, percents and fractions, because I could write that up pretty quick, and let me know if you didn't understand this explanation.