0.17 Percent As A Decimal
Lesson 5: Converting Percentages, Decimals, and Fractions
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Converting fractions, decimals, and percents
When we talk, we often employ unlike words to express the aforementioned affair. For instance, nosotros could describe the same car as tiny or little or modest. All of these words mean the car is not large. Fractions, decimals, and percents are similar the words tiny, little, and small-scale. They're all just different ways of expressing parts of a whole.
In this image, each measuring cup has the same amount of juice in it. But we've expressed this amount in iii ways: as a fraction, as a percent, and as a decimal. Since they're expressing the same corporeality, we know that 1/2, 50%, and 0.five are equal to each other. Any time we see 1/2, we'll know it can also mean l% or 0.five.
Sometimes information technology's useful to catechumen one kind of number into another. For example, information technology'southward much easier to add 1/4 and 0.v if you turn 0.5 into a fraction. Learning how to convert fractions, decimals, and percents will likewise help you lot as you lot learn more advanced math.
Fractions and decimals
Every fraction can also exist written as a decimal, and vice versa. You lot may not practise this very often, but converting decimals and fractions tin help yous in math. For example, it's easier to subtract ane/6 from 0.52 if you turn 1/half-dozen into a decimal starting time.
Converting a fraction into a decimal
Let's catechumen a fraction into a decimal. Nosotros'll be using a math skill you've already learned: long division. To refresh your memory on this skill, you lot can review our Long Sectionalization lesson.
Click through the slideshow to acquire how to catechumen a fraction into a decimal.
Endeavour This!
Convert each of these fractions into a decimal.
Converting a decimal into a fraction
Now nosotros'll do it in contrary. Permit's catechumen a decimal into a fraction.
Click through the slideshow to see how to convert a decimal into a fraction.
Reducing a fraction may seem unnecessary when you're converting a decimal. But it'south of import if you're going to utilise the fraction in a math trouble. If you're calculation two fractions, you lot may even need to reduce or change both fractions and then they have a mutual denominator.
Endeavour This!
Convert these decimals into fractions. Be sure to reduce each fraction to its simplest course!
Percents and decimals
Knowing how to convert percents and decimals volition help y'all calculate things similar sales tax and discounts. To learn how, check out our Percentages in Existent Life lesson.
Converting a percent into a decimal
Converting a percent into a decimal is surprisingly easy. It just takes a few unproblematic steps.
Click through the slideshow to learn how to catechumen a pct into a decimal.
Why does this work?
Converting percents into decimals is and then easy that you may experience like you've missed something. Just don't worry—it actually is that elementary! Here'south why the method we showed you works.
When we turn a pct into a decimal, we're actually doing two steps. First, nosotros convert our percent into a fraction. Since all percents are out of 100, we just put the percent over 100, similar this:
78% = 78/100
In the 2nd step, we convert 78/100 into a decimal. You already know this ways nosotros'll divide the numerator past the denominator, similar this:
78 ÷ 100 = 0.78
So why didn't nosotros show you these steps in the slideshow? Because you tin can get the answer without them. Y'all know that all percents are out of 100, so you tin can skip making the percent into a fraction. You have to divide the percentage by 100 to get a decimal, but there's a quick style to do that. Only motion the decimal point 2 spaces to the left! This way, you lot tin can get the same answer with just 1 easy step.
Try This!
Convert these percents into decimals.
Converting a decimal into a pct
Now we'll contrary what yous only learned. Permit's convert a decimal into a percent.
Click through the slideshow to see how to convert a decimal into a percent.
Endeavour This!
Calculate these decimals as percents.
Percents and fractions
Knowing how to write percents as fractions and vice versa can help you in your everyday life. For instance, let'south say you earned a course of 80% on a examination. You can convert fourscore% into a fraction to find out how many of your answers were right. When your instructor grades the test, she may practise the contrary. If a student got 8 out of 10 questions right, the instructor tin can convert 8/10 to a per centum to requite the student a class.
Converting a percent into a fraction
When you're converting a percent into a fraction, it helps to recollect that percents are ever out of 100. You tin can practice with percents in our Introduction to Percentages lesson.
Click through the slideshow to acquire how to convert a percent into a fraction.
Attempt This!
Write these percentages every bit fractions. Brand sure to reduce each fraction to its simplest form.
Converting a fraction into a percent
Converting a fraction uses 2 of the skills you just learned: writing a fraction as a decimal, and writing a decimal as a pct. Let's see how we tin employ these skills to convert a fraction into a per centum.
Click through the slideshow to larn how to catechumen a fraction into a percent.
Try This!
Convert these fractions into percents.
0.17 Percent As A Decimal,
Source: https://edu.gcfglobal.org/en/fractions/converting-percentages-decimals-and-fractions/1/#:~:text=We've%20converted%20our%20percent,Let's%20look%20at%20another%20example.
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