What will convert a fraction to a decimal

This calculator shows the steps and work to convert a fraction to a decimal number. In a fraction, the fraction bar means "divided by. Dividing numbers is easy with a calculator. If you need to do long division by hand put the top number of the fraction numerator inside the division bracket and the bottom number denominator outside, to the left of the division bracket.

Complete the division to convert the fraction to a decimal. You can reduce the fraction to lowest terms first to make the long division math a bit easier. Practice: Converting fractions to decimals.

Next lesson. Current timeTotal duration Google Classroom Facebook Twitter. These are all different ways of writing the same thing. So let's actually divide 8 into 7. And I'll do it down here just so I have some more real estate to work with. I'm going to divide 8 into 7. And I'm going to add a decimal point here, just because we know that this value is going to be less than 1.

We're going to have some digits to the right of the decimal point. And let me put the decimal point right up here, right above the decimal point in 7. And then we start dividing. And now this really turns into a long division problem.

And we just have to make sure we keep track of the decimal sign. Here's why the method we showed you works. When we turn a percent into a decimal, we're actually doing two steps. First, we convert our percent into a fraction. Since all percents are out of , we just put the percent over , like this:.

You already know this means we'll divide the numerator by the denominator , like this:. So why didn't we show you these steps in the slideshow? Because you can get the answer without them. You know that all percents are out of , so you can skip making the percent into a fraction. You have to divide the percent by to get a decimal, but there's a quick way to do that.

Just move the decimal point two spaces to the left! This way, you can get the same answer with just one easy step. We'll reverse what we did in the last section. This time, we'll move the decimal point two places to the right.

We've finished converting our decimal into a percent. Let's try another example. This time our decimal has three numbers to the right of the decimal point. We still have a number to the right of the decimal point. The number isn't a 0 , so we can't drop it.

Instead, we'll keep the decimal point and add a percent sign at the end of the number. Knowing how to write percents as fractions and vice versa can help you in your everyday life. When your teacher grades the test, she may do the opposite.

When you're converting a percent into a fraction, it helps to remember that percents are always out of You can practice with percents in our Introduction to Percentages lesson. In Introduction to Percents , you learned that all percents are out of In fact, that's what the word percent means. So any percent is equal to itself over So we can divide both parts of the fraction by We'll divide the numerator of the fraction first.

Write these percentages as fractions.