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As you can see, in one quick calculation, we’ve converted the fraction 49 into it’s decimal expression, 0.44444444444444.Convert 4/9 to Percentage by Changing Denominator
Our percent fraction is 44.444444444444/100, which means that 49 as a percentage is 44.44%.To convert a fraction to a decimal, we’ll just divide the numerator…by the denominator. In our example, we’ll divide 1 by 4. 1 divided by 4 equals 0. To keep dividing, we’ll add a decimal point and a zero after the 1.
| Fraction | Equivalent Fractions | |
|---|---|---|
| 4/9 | 8/18 | 36/81 |
| 5/9 | 10/18 | 45/81 |
| 7/9 | 14/18 | 63/81 |
| 8/9 | 16/18 | 72/81 |
Contents
How do you write 4/9 as a percent?
Convert 4/9 to Percentage by Changing Denominator
Our percent fraction is 44.444444444444/100, which means that 49 as a percentage is 44.44%.
How do I turn fractions to decimals?
To convert a fraction to a decimal, we’ll just divide the numerator…by the denominator. In our example, we’ll divide 1 by 4. 1 divided by 4 equals 0. To keep dividing, we’ll add a decimal point and a zero after the 1.
What is 4/9 as a fraction?
| Fraction | Equivalent Fractions | |
|---|---|---|
| 4/9 | 8/18 | 36/81 |
| 5/9 | 10/18 | 45/81 |
| 7/9 | 14/18 | 63/81 |
| 8/9 | 16/18 | 72/81 |
Is 4/9 recurring or terminating?
4/9 is a terminating decimal.
What is 4/9 as a decimal and solution?
When we convert 4/9 to a decimal value we get 0.44…
Can u simplify 4 9?
The fraction can’t be simplified because there is no common factor, or GCF, between 4 and 9.
What is 4/3 as a decimal?
As you can see, in one quick calculation, we’ve converted the fraction 43 into it’s decimal expression, 1.3333333333333.
What is 3/8 as a decimal?
3/8 as a decimal is 0.375.
How do you write 4 divided by 9?
Explanation: We can write 4 divided by 9 as 4/9. Here, 4 is the numerator and 9 is the denominator. And if we divide 4 by 9, we get 0.44.
What is the whole number of 4 9?
4 / 9 = 0.44444444
If you insist on converting 4/9 to a whole number, the best we can do is round the decimal number up or down to the nearest whole number.
What is the square root of 4/9 as a fraction?
Below you can find some examples of square roots of a fraction: square root of 4/9: √(4/9) = √4 / √9 = 2/3 , square root of 1/100: √(1/100) = √1 / √100 = 1/10 , square root of 1/5: √(1/5) = √1 / √5 = 1/√5 = √5/5 .
Is 4/9 a terminating decimal or a repeating decimal?
The decimal value of 49 is a repeating decimal, 0.
How do you write 0.4 as a fraction?
Answer: 0.4 can be written in a fraction as 4/10 or 2/5.
How do you convert 0.667 into a fraction?
- 610+6100+71000.
- This can be written as: 6671000. ‘~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
- 6671000×100=66.7%
- Expressed as a percent fraction this is 66.7100.
What is 5/8 as a decimal?
∴ 5/8 as a decimal is 0.625.
What is 7/8 as a decimal?
The answer is 0.875.
How do you turn 2 3 into a decimal?
Answer: The decimal form of 2/3 is 0.666
Let’s convert 2/3 into its decimal form. Explanation: Divide 2 by 3 to convert 2/3 in its decimal form. The quotient obtained on dividing 2 by 3 will be 0.666…
What is 3/5 as a decimal?
To convert 3/5 to a decimal, divide the denominator into the numerator. 3 divided by 5 = . 6.
4/9 as a Decimal | Convert 4/9 to Decimal
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Why Convert 49 to a Decimal
Practice Fraction to Decimal Worksheets
Practice Fractions to Decimals Using Examples
Convert Another Fraction to Decimal Number
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4/9 as a Percentage | Convert 4/9 to Percent
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Convert 49 to Percentage by Changing Denominator
Convert 49 to Percentage by Converting to Decimal
Practice Percentage Worksheets
Practice Fractions to Percentage Using Examples
Calculate Another Fraction to Percentage Conversion
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Percents: Converting Percentages, Decimals, and Fractions
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Percents: Converting Percentages, Decimals, and Fractions
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What is 4/9 as a decimal? (Convert 4/9 to decimal)
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- Summary of article content: Articles about What is 4/9 as a decimal? (Convert 4/9 to decimal) That’s literally all there is to it! 4/9 as a decimal is 0.44444444444444. I wish I had more to tell you about converting a fraction into a … …
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Why would you want to convert 49 to a decimal
Fraction as Decimal
Random Fraction to Decimal Problems
how do you write 4 9 as a decimal
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- Summary of article content: Articles about how do you write 4 9 as a decimal When we convert 4/9 to a decimal value we get 0.44… (4 repeating) and 44.4 (4 repeating) as a percentage value. To convert 4/9 into a decimal value… …
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Free Tool to Convert 4/9 into Decimal | How Do You Write 4/9 as a Decimal
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Just by diving the numerator value with the denominator value, you can easily convert fraction 4/9 to decimal ie., 0.4444 To write the given fraction. 2. … - Most searched keywords: Whether you are looking for Free Tool to Convert 4/9 into Decimal | How Do You Write 4/9 as a Decimal
Just by diving the numerator value with the denominator value, you can easily convert fraction 4/9 to decimal ie., 0.4444 To write the given fraction. 2. Utilize our free online calculator to find the fraction 4/9 as a decimal & get the output ie., 0.4444 within seconds along with detailed steps.Utilize our free online calculator to find the fraction 4/9 as a decimal & get the output ie., 0.4444 within seconds along with detailed steps.Utilize our free online calculator to find the fraction 4/9 as a decimal & get the output ie., 0.4444 within seconds along with detailed steps. - Table of Contents:
What is 4/9 as a decimal? – ArgoPrep
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- Most searched keywords: Whether you are looking for What is 4/9 as a decimal? – ArgoPrep 4/9 as a decimal is 0.44 · Want to practice? · Solution · Remember · Find More Fractions to Decimals · See Related Worksheets: · Explore our workbooks … 4/9 as a decimal is 0.44 Want to practice? Solution A recurring decimal is a decimal in which a sequence of digits is repeated. A recurring or
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49 as a decimal is 044
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4/9 as a Decimal – getcalc.com
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- Summary of article content: Articles about 4/9 as a Decimal – getcalc.com How-to: 4/9 as a Decimal ; step 2 · = · x 1010 ; step 3 · = 10 x · x 110 = 409 x 110 ; step 4 · = 40 · x 110 = 36 + 49 x 110 = ( 369 + 49) x 110 = (4 + 49 ) x 110 …
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What is 4/9 as a decimal?
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Convert 4/9 to Decimal
Converting a fraction to its decimal format is a very simple and easy thing to do. In this article, we’ll show you exactly how to convert the fraction 4/9 to a decimal and give you lots and lots of examples to help you.
Looking for fraction to decimal worksheets? Click here to see all of our free fraction to decimal worksheets.
The two main ways to express a fraction as a decimal are:
With a calculator!
Using long division.
The simplest method is obviously to use a calculator. It’s quick, and easy. To show a fraction as a decimal you divide the top number of the fraction (the numerator) by the bottom number (the denominator) and the result is the fraction as a decimal.
Let’s look at a quick example of this by using the fraction 49 and converting it to decimal using a calculator.
4 ÷ 9 = 0.44444444444444
As you can see, in one quick calculation, we’ve converted the fraction 49 into it’s decimal expression, 0.44444444444444.
If you don’t have a calculator, you can show a fraction as a decimal using good old fashioned long division instead.
0. 4 4 4 4
9 4.000
– 0
40
– 3 6 40
– 3 6 40
– 3 6 40
– 3 6 4
(Note: for the purpose of this article, we always calculate to 3 decimal places)
With the long division method, the whole number at the top is the answer, and the bottom number is the remainder:
0 Remainder: 4
There are other methods for converting fractions into a decimal version but it’s very unlikely you will ever use something that is not a simple calculator or a long division method.
Why Convert 4/9 to a Decimal?
We often find ourselves wanting to convert a fraction like 4/9 into a decimal because it allows you to represent the fraction in a way that can be easily understood.
In your daily life you will find yourself working with decimals much more frequently than fractions, and this teaches your brain to understand decimal numbers.
So, if you need to do any form of common arithmetic like addition, subtraction, division, or multiplication, converting 4/9 into a decimal is a good way to perform those calculations.
Another benefit to showing 4/9 as a decimal is as a comparison. It’s very easy to compare two decimal numbers and see which is greater and which is smaller, but when you have fractions with different numerators and denominators it is not always immediately clear when you compare then.
Both fractions and decimal numbers have a place in math though, because fractions are easy to multiply, can express larger decimal numbers easier, and it’s important to learn and understand how to convert both from fraction to decimal, and from decimal to fraction.
Practice Fraction to Decimal Worksheets
Like most math problems, converting fractions to decimals is something that will get much easier for you the more you practice the problems and the more you practice, the more you understand.
Whether you are a student, a parent, or a teacher, you can create your own fractions to decimals worksheets using our fractions to decimals worksheet generator. This completely free tool will let you create completely randomized, differentiated, fraction to decimal problems to help you with your learning and understanding of fractions.
Practice Fractions to Decimals Using Examples
If you want to continue learning about how to convert fractions to decimals, take a look at the quick calculations and random calculations in the sidebar to the right of this blog post.
We have listed some of the most common fractions in the quick calculation section, and a selection of completely random fractions as well, to help you work through a number of problems.
Each article will show you, step-by-step, how to convert a fraction into a decimal and will help students to really learn and understand this process.
Convert Another Fraction to Decimal Number
Convert 4/9 to Percent
Converting a fraction like 4/9 to its percentage format is a very simple and useful math skill that will help students to understand fractions and how to express them in different ways. In this article, we’ll show you exactly how to convert fractions to a percentage and give you lots of examples to help you.
Looking for percentage worksheets? Click here to see all of our percentage worksheets.
There are two main ways to express a fraction as a percentage:
Divide 100 by the numerator, and then multiply both numerator and denominator by the answer. Convert the fraction to a decimal first, then multiply the answer by 100.
The first step is to make sure we understand all of the terms in the problem we are trying to solve:
Numerator – this is the number above the fraction line. For 4 9 , the numerator is 4.
– this is the number above the fraction line. For , the numerator is 4. Denominator – this is the number below the fraction line. For 4 9 , the denominator is 9.
– this is the number below the fraction line. For , the denominator is 9. Per cent – “per cent” means parts per hundred, so saying 50%, for example, is the same as the fraction 50 100 or 5 10 .
Convert 4/9 to Percentage by Changing Denominator
The first method we have is to convert the fraction so that the denominator is 100. Since “per cent” means parts per hundred, if we can convert the fraction to have 100 as the denominator, we then know that the top number, the numerator, is the percentage.
First, we divide 100 by the denominator:
100 ÷ 9 = 11.111111111111
Once we have the answer of 11.111111111111, we can multiply both the numerator and the denominator by it to get our new “percent” fraction:
4 × 11.111111111111 9 × 11.111111111111 = 44.444444444444 100
Our percent fraction is 44.444444444444/100, which means that 49 as a percentage is 44.44%.
Convert 4/9 to Percentage by Converting to Decimal
With this method, we first need to divide the numerator by the denominator:
4 ÷ 9 = 0.44444444444444
Once we have the fraction in a decimal format, the answer is then multiplied by 100 to get the correct percentage:
0.44444444444444 × 100 = 44.44%
We can see that this gives us the exact same answer as the first method: 4/9 as a percentage is 44.44%.
Both methods of converting a fraction to a percentage are pretty straightward and can be applied to any fraction easily when you have learned and memorized the steps involved.
Note, the final percentage is rounded to 2 decimal places to make the answer simple to read and understand.
Practice Percentage Worksheets
Like most math problems, percentages is something that will get much easier for you the more you practice the problems and the more you practice, the more you understand.
Whether you are a student, a parent, or a teacher, you can create your own percentage worksheets using our percentage worksheet generator. This completely free tool will let you create completely randomized, differentiated, percentafe problems to help you with your learning and understanding of percentages.
Practice Fractions to Percentage Using Examples
If you want to continue learning about how to convert fractions to percentages, take a look at the quick calculations and random calculations in the sidebar to the right of this blog post.
We have listed some of the most common fractions in the quick calculation section, and a selection of completely random fractions as well, to help you work through a number of problems.
Each article will show you, step-by-step, how to convert a fraction into a percentage and will help students to really learn and understand this process.
Calculate Another Fraction to Percentage Conversion
Percents: Converting Percentages, Decimals, and Fractions
Lesson 4: Converting Percentages, Decimals, and Fractions
/en/percents/percentages-in-real-life/content/
Converting fractions, decimals, and percents
When we talk, we often use different words to express the same thing. For example, we could describe the same car as tiny or little or small. All of these words mean the car is not big. Fractions, decimals, and percents are like the words tiny, little, and small. 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 three ways: as a fraction, as a percent, and as a decimal. Since they’re expressing the same amount, we know that 1/2, 50%, and 0.5 are equal to each other. Any time we see 1/2, we’ll know it can also mean 50% or 0.5.
Sometimes it’s useful to convert one kind of number into another. For example, it’s much easier to add 1/4 and 0.5 if you turn 0.5 into a fraction. Learning how to convert fractions, decimals, and percents will also help you as you learn more advanced math.
Fractions and decimals
Every fraction can also be written as a decimal, and vice versa. You may not do this very often, but converting decimals and fractions can help you in math. For example, it’s easier to subtract 1/6 from 0.52 if you turn 1/6 into a decimal first.
Converting a fraction into a decimal
Let’s convert a fraction into a decimal. We’ll be using a math skill you’ve already learned: long division. To refresh your memory on this skill, you can review our Long Division lesson.
Click through the slideshow to learn how to convert a fraction into a decimal.
Let’s see how we can convert 1/4 into a decimal.
To convert a fraction into a decimal, we’ll just divide the numerator…
To convert a fraction to a decimal, we’ll just divide the numerator…by the denominator.
In our example, we’ll divide 1 by 4.
1 divided by 4 equals 0.
To keep dividing, we’ll add a decimal point and a zero after the 1.
We’ll also add a decimal point after the 0 on top.
Now we can divide 10 by 4.
10 divided by 4 equals 2.
Now we’ll multiply 4 by 2.
4 times 2 equals 8. So we’ll subtract 8 from 10.
10 minus 8 equals 2.
Since 2 is greater than 0, we’re not finished dividing yet. We’ll add another 0 after the decimal point and bring it down.
Now we’ll divide 20 by 4.
20 divided by 4 equals 5.
Now we’ll multiply. 4 times 5 equals 20.
When we subtract 20 from 20, we get 0. The 0 means we’re done dividing.
1 divided by 4 equals 0.25.
So 1/4 is equal to 0.25.
Try This!
Convert each of these fractions into a decimal.
Converting a decimal into a fraction
Now we’ll do it in reverse. Let’s convert a decimal into a fraction.
Click through the slideshow to see how to convert a decimal into a fraction.
We’re going to rewrite 0.85 as a fraction. To convert a decimal into a fraction, we’ll use place values .
In decimals, the number immediately to the right of the decimal point is in the tenths place.
The place to the right of the tenths place is the hundredths place .
To convert a decimal, first we’ll check the place value of the last number to the right.
In 0.85, 5 is in the hundredths place.
This means our decimal is equal to 85 hundredths. 85 hundredths can also be written as 85/100.
Now we have our fraction. But it’s always a good idea to reduce fractions when we can—it makes them easier to read.
To reduce, we need to find the largest number that will go evenly into both 85 and 100.
5 is the largest number that goes evenly into 85 and 100. So we’ll divide both parts of our fraction by 5.
First we’ll divide the numerator. 85 divided by 5 equals 17.
Now we’ll divide the denominator. 100 divided by 5 equals 20. This means 85/100 can be reduced to 17/20.
So 0.85 is equal to 17/20.
Reducing a fraction may seem unnecessary when you’re converting a decimal. But it’s important if you’re going to use the fraction in a math problem. If you’re adding two fractions, you may even need to reduce or change both fractions so they have a common denominator.
Try This!
Convert these decimals into fractions. Be sure to reduce each fraction to its simplest form!
Percents and decimals
Knowing how to convert percents and decimals will help you calculate things like sales tax and discounts. To learn how, check out our Percentages in Real Life lesson.
Converting a percent into a decimal
Converting a percent into a decimal is surprisingly easy. It only takes a few simple steps.
Click through the slideshow to learn how to convert a percent into a decimal.
We’re going to convert 17% into a decimal.
First, we’ll take the percent sign…
First, we’ll take the percent sign…and turn it into a decimal point.
Next, we’ll move the decimal point two spaces to the left .
Now we’ll move the decimal point two spaces to the left .
We’ve converted our percent to a decimal. 17% is equal to 0.17.
Let’s look at another example. This time we’ll turn 78% into a decimal.
First, we’ll replace the percent sign with a decimal point .
Then we’ll move the decimal point two spaces to the left .
Then we’ll move the decimal point two spaces to the left .
78% is equal to 0.78.
Let’s look at another example. This time we’ll turn 8% into a decimal.
First, we’ll replace the percent sign with a decimal point .
Then, we’ll move the decimal point two spaces to the left .
Then, we’ll move the decimal point two spaces to the left .
Notice there is an extra space next to the 8. We can’t just leave an open space with nothing in it. Since zero equals nothing, we’ll replace the space with zero .
Notice there is an extra space next to the 8. We can’t just leave an open space with nothing in it. Since zero equals nothing, we’ll replace the space with zero .
8% is equal to .08
Why does this work?
Converting percents into decimals is so easy that you may feel like you’ve missed something. But don’t worry—it really is that simple! 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 100, we just put the percent over 100, like this:
78% = 78/100
In the second step, we convert 78/100 into a decimal. You already know this means we’ll divide the numerator by the denominator, like this:
78 ÷ 100 = 0.78
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 100, so you can skip making the percent into a fraction. You have to divide the percent by 100 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.
Try This!
Convert these percents into decimals.
Converting a decimal into a percent
Now we’ll reverse what you just learned. Let’s convert a decimal into a percent.
Click through the slideshow to see how to convert a decimal into a percent.
We’re going to convert 0.45 into a percent.
We’ll reverse what we did in the last section. This time, we’ll move the decimal point two places to the right .
We’ll reverse what we did in the last section. This time, we’ll move the decimal point two places to the right .
Now we’ll replace the decimal point with a percent sign.
We’ve finished converting our decimal into a percent. 0.45 is equal to 45%.
Let’s try another example. This time our decimal has three numbers to the right of the decimal point.
But we’re still going to move the decimal point two spaces to the right.
But we’re still going to move the decimal point two spaces to the right.
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.
So 0.635 is equal to 63.5%.
Try 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 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%.
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Convert these fractions into percents.
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