Learn how to convert percentages, fractions and decimals, including converting fractions to decimals, in this free lesson.

### Percents and fractions

Knowing how to write percents as fractions and vice versa can help you in your everyday life. For example, let's say you earned a grade of 80% on a test. You can convert 80% into a fraction to find out how many of your answers were correct. When your teacher grades the test, she may do the opposite. If a student got 8 out of 10 questions right, the teacher can convert 8/10 to a percent to give the student a grade.

#### Converting a percent into a fraction

When you're converting a percent into a fraction, it helps to remember that percents are always out of 100. You can practice with percents in our Introduction to Percentages lesson.

Click through the slideshow to learn how to convert a percent into a fraction.

We're going to convert 30% into a fraction.

In Introduction to Percents, you learned that all percents are out of 100. In fact, that's what the word **percent** means.

So any percent is equal to itself over 100. In our example, 30% is equal to 30/100.

Now we've converted 30% into a fraction, but we still need to reduce it.

10 is the largest number that goes evenly into 30 and 100. So we can divide both parts of the fraction by 10.

We'll divide the numerator of the fraction first. 30 divided by 10 equals 3.

Now we'll divide the denominator. 100 divided by 10 equals 10.

So 30% is equal to 3/10.

#### Try This!

Write these percentages as fractions. Make sure to **reduce** each fraction to its simplest form.

#### Converting a fraction into a percent

Converting a fraction uses two of the skills you just learned: writing a **fraction as a decimal**, and writing a **decimal as a percent**. Let's see how we can use these skills to convert a fraction into a percent.

Click through the slideshow to learn how to convert a fraction into a percent.

Let's convert 3/6 into a percent.

Just like when we converted a fraction into a decimal, we'll divide the **numerator** by the **denominator**.

3 divided by 6 equals 0.5.

We've turned our fraction into a decimal.

Now we'll turn the decimal into a percent by moving the decimal point two spaces to the right.

Now we'll turn the decimal into a percent by moving the decimal point two spaces to the right.

We'll also change the decimal point into a percent sign. 0.50 is equal to 50%.

So 3/6 is equal to 50%.

#### Try This!

Convert these fractions into percents.

### Assessment

Want even more practice? Try out a short assessment to test your skills by clicking the link below:

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