Since all percents are out of 100, we just put the percent over 100, like this: First, we convert our percent into a fraction. When we turn a percent into a decimal, we’re actually doing two steps. But don’t worry-it really is that simple! Here’s why the method we showed you works. Since zero equals nothing, we’ll replace the space with zero.Ĭonverting percents into decimals is so easy that you may feel like you’ve missed something. We can’t just leave an open space with nothing in it. Notice there is an extra space next to the 8. Then, we’ll move the decimal point two spaces to the left. Then we’ll move the decimal point two spaces to the left. This time we’ll turn 78% into a decimal.įirst, we’ll replace the percent sign with a decimal point.
We’ve converted our percent to a decimal. Now we’ll move the decimal point two spaces to the left. Next, we’ll move the decimal point two spaces to the left. We’re going to convert 17% into a decimal.įirst, we’ll take the percent sign…and turn it into a decimal point.
#Fractions to percentages vice versa how to
It only takes a few simple steps.Ĭlick through the slideshow to learn how to convert a percent into a decimal. To learn how, check out our Percentages in Real Life lesson.Ĭonverting a percent into a decimal is surprisingly easy. Knowing how to convert percents and decimals will help you calculate things like sales tax and discounts. Be sure to reduce each fraction to its simplest form! If you’re adding two fractions, you may even need to reduce or change both fractions so they have a common denominator.Ĭonvert these decimals into fractions. But it’s important if you’re going to use the fraction in a math problem. Reducing a fraction may seem unnecessary when you’re converting a decimal. This means 85/100 can be reduced to 17/20. So we’ll divide both parts of our fraction by 5.įirst we’ll divide the numerator. To reduce, we need to find the largest number that will go evenly into both 85 and 100.ĥ is the largest number that goes evenly into 85 and 100. But it’s always a good idea to reduce fractions when we can-it makes them easier to read. 85 hundredths can also be written as 85/100. This means our decimal is equal to 85 hundredths. To convert a decimal, first we’ll check the place value of the last number to the right. The place to the right of the tenths place is the hundredths place. In decimals, the number immediately to the right of the decimal point is in the tenths place. To convert a decimal into a fraction, we’ll use place values. We’re going to rewrite 0.85 as a fraction. Let’s convert a decimal into a fraction.Ĭlick through the slideshow to see how to convert a decimal into a fraction. The 0 means we’re done dividing.Ĭonvert each of these fractions into a decimal. We’ll add another 0 after the decimal point and bring it down. Since 2 is greater than 0, we’re not finished dividing yet. We’ll also add a decimal point after the 0 on top.Ĥ times 2 equals 8. To keep dividing, we’ll add a decimal point and a zero after the 1. To convert a fraction to a decimal, we’ll just divide the numerator…by the denominator. To convert a fraction into a decimal, we’ll just divide the numerator… Let’s see how we can convert 1/4 into a decimal. To refresh your memory on this skill, you can review our Long Division lesson.Ĭlick through the slideshow to learn how to convert a fraction into a decimal. We’ll be using a math skill you’ve already learned: long division. For example, it’s easier to subtract 1/6 from 0.52 if you turn 1/6 into a decimal first. You may not do this very often, but converting decimals and fractions can help you in math. Learning how to convert fractions, decimals, and percents will also help you as you learn more advanced math.Įvery fraction can also be written as a decimal, and vice versa. For example, it’s much easier to add 1/4 and 0.5 if you turn 0.5 into a fraction.
Sometimes it’s useful to convert one kind of number into another.
Any time we see 1/2, we’ll know it can also mean 50% or 0.5. Since they’re expressing the same amount, we know that 1/2, 50%, and 0.5 are equal to each other. But we’ve expressed this amount in three ways: as a fraction, as a percent, and as a decimal. In this image, each measuring cup has the same amount of juice in it. They’re all just different ways of expressing parts of a whole. Fractions, decimals, and percents are like the words tiny, little, and small. All of these words mean the car is not big. For example, we could describe the same car as tiny or little or small. When we talk, we often use different words to express the same thing. en/percents/percentages-in-real-life/content/
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