# Convert between Percent, Fractions and Decimals 03:41 minutes

**Video Transcript**

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Transcript
**Convert between Percent, Fractions and Decimals**

This is Toni. He's the owner of "Toni's 100% Pizza," which is famous for its delicious, customized pizzas. At the moment, he's taking a customer's order.

The customer orders a pizza with 50% mushrooms, 0.125 of pepperoni and three-eighths tomatoes. Hmm, that is a weird order! How can Toni make such a pizza?

### What does Percent mean?

To fulfill this order, Toni has to **convert between percents, decimals, and fractions**.

Let's start with **converting decimals and fractions to percents**. **Percent means 'per hundred'** and describes **part of a whole** just like fractions and decimals.

If the pizza were cut into 100 slices, 1 slice would equal 1 percent. The percent sign looks like two little zeros with a diagonal line dividing them... or maybe a division sign that lost its balance.

### Converting Decimals and Fractions to Percents

Let's **convert decimals to percents**. To convert a decimal to a percent you first **multiply by 100**. 0.125 multiplied by 100 is 12.5. Now we **add the percent sign**. So the answer is 12.5%.

Now let's **convert fractions into decimals**. The **numerator is divided into the denominator by using long division**.

8 is written **outside of the division sign** and 3 is written **under the division sign**. As you know, 8 can't go into 3, so you put a zero followed by a decimal point above the division bar and add point zero zero zero after the 3.

Then, see if 8 can go into 30; yup! 3 times. 3 times 8, is 24. We subtract this from 30, leaving us with 6. The next 0 is brought down to be the next digit. This process is repeated until the remainder is 0. The result is 0.375.

Now you just have to convert the decimal 0.375 to a percent. You already know: multiply by 100 and then add the percent sign! Finally you get 37.5%.

### Converting Percent and Decimals into Fractions

Now, Toni can make the pizza. 50 percent mushrooms, which is easy. But, what about 12.5 and 37.5 percent?
Maybe we should **convert everything into fractions**.

Let's start with 50%. Write the **percent divided by 100**. So you have 50 over 100. Then **reduce the fraction**. This gives us one-half.

Now let's convert 0.125. 0.125 means 125 thousandths. So you write 125 as the numerator and 1000 as the denominator. Now **reduce the fraction**. The answer is one-eighth.

Now, Toni can make the pizza. The remaining part has one-eighth pepperoni. And there are three-eighths tomatoes.

### Remember how to convert between Percents, Fractions and Decimals

To **remember better how to convert between percents, fractions and decimals**, you can use this **triangle**.

**You can convert percents to fractions by dividing them by 100. Remember to reduce the fraction.****If you want to convert a fraction to a decimal, just divide the two numbers and there you have it!****To convert decimals to a percent, multiply the decimal by 100 and add a percent sign.**

Let's see what Toni does as payback for this prankster.

**All Video Lessons & Practice Problems in Topic**Proportion and Percents »