Convert Fractions to Decimals
Sep 05, · The line in a fraction that separates the numerator and denominator can be rewritten using the division symbol. So, to convert a fraction to a decimal, divide the numerator by the . To convert fractions to decimals you just divide the top by the bottom — divide the numerator by the denominator — and if the division doesn’t come out evenly, you can stop after a certain number of decimal places and round off. To convert fractions to decimals: If the fraction is a mixed number, change it to an improper fraction.
Last Updated: October 23, References. To create this article, people, some anonymous, worked to edit and improve it over time. There are 8 references cited in this article, which can be found at the bottom of the page. This article has been viewedtimes. Learn more Converting a common fraction into a decimal is easy once you get the hang of it.
You can either do it through simple long division, multiplication, or even by using your calculator, if you don't want to do it by hand. Once you learn how to master this technique, you'll be able to move between fractions and decimals with ease. To change a common fraction into a decimal using long division, start by writing the fraction as a division problem.
Then, place a 0 with a decimal point above the bracket to indicate that the answer will be less than 1. Additionally, place a how much does it cost to replace a fuel filter and a 0 after the 3.
Finally, use long division to get 0. To learn more, including how to divide a fraction with a repeating decimal, scroll down. Did this summary help you? Yes No. Log in Social login does not work in incognito and private browsers. Please log in with your username or email to continue. No account yet? Create an account.
Tips and Warnings. Related Articles. Article Summary. Method 1 of Write the denominator outside the division bracket and the numerator inside of it. Simply write a "4" outside the division bar with a "3" on the inside.
The "4" is your what do the conservative party stand for, and the "3" is your dividend. Place a zero with a decimal point after it above the division bracket. Since you're working with a fraction, you know that your answer will be less than one, so this first step is necessary.
After you do this, you'll need to place a decimal after the 3 under the division bracket and write an additional zero after it. Though 3 and "3. Use long division to get your answer. When you do long division, you can pretend that the decimal points don't exist and act like how to take photos at a concert just dividing 4 into 30, for now.
Here is how you do it:  X Research source First, divide "4" into 3. The closest you can get is 4 x 7, or 28, which will give you a remainder of 2. So, write a 7 after the "0. Under that, write 2, your remainder, or what you have left when you subtract 28 from Next, add another "0" to the "3.
This will allow you to drop down another 0 to the right of the "2" so you can divide "4" into " Write the "5" to the right of the "0. Write your answer. You'll find that "3" divided how do i turn a fraction into a decimal "4" will give you ".
Write down this answer and you're all done. Method 2 of Set up the long-division problem. You may not always know that you're going to get an answer with a repeating decimal when you begin long division. Just set it up with the 3, or the denominator, outside the division bracket, and the 1 inside the division bracket. Since your answer will be less than one, this will help you put the answer in decimal form.
You should also place a decimal point after the "1" inside the division bracket. Do long division. You'll get 3 x 3, or 9, with a remainder of 1. So, write a 3 after the "0. Add another "0" after the "1" below the "10" to get "10" again.
When you divide "3" into "10" again, you'll have to repeat the process, placing another "3" after the first "3" above the division bracket along with subtracting another "9" from the new "10" you have left. Keep going until you notice a pattern. Notice something funny yet? You'll see that this can go on forever. You can keep dividing 3 into 10, getting a remainder of 1, and writing yet another "3" after the decimal point above the division bracket. Now that you see that the "3" can repeat forever, simply write your answer as ".
This will happen any time you have a denominator that is a multiple of 3 with a numerator that won't go into it cleanly. Method 3 of Find a number you can multiply by the denominator of the fraction to make it 10,or any 1 followed by 0s. This can be an easy way to change a common fraction to a decimal without using your calculator or doing long division. First, you simply have to find a way to multiply the denominator of the fraction to get either a 10, and so on.
You can find this number by trying to divide the denominator first by 10, then bythen byuntil you find a whole number. You know you can multiply 5 x 2 to get 10, so 2 will be your magic number. So, now you know you can multiply 4 by 25 to gethow do i turn a fraction into a decimal 25 will be the number you use. So, now you know you can multiply 16 by to get 10, so is your magic number.
Multiply both the numerator and denominator of the fraction by that number. This is pretty straightforward. Simply multiply both the top and bottom of the fraction by the same number. State your answer as the numerator with the decimal point moved to the left for every 0 in the numerator. Now, simply check out the bottom of your denominator to see how many 0s you're working with. If you just have one, then move that decimal point over to the left one digit, and so on, and you'll have your final answer.
Method 4 of Divide the numerator by the denominator. It's simple. Just use your galaxy s2 how to update to divide the numerator, or the top number, of the fraction by the denominator, or the bottom number of the fraction.
Write down your answer. You'll see that your answer is. Not Helpful 12 Helpful Leave the whole numbers aside. Put the decimal over a fraction like 0. Don't forget about the whole number.
Therefore, 1. Not Helpful 14 Helpful Unfortunately, there isn't. However, keep doing problem sets and you will find that it will become second nature to you soon. Not Helpful 17 Helpful The sign doesn't matter. The process is the same whether using positive or negative numbers. Convert a mixed number to a decimal by placing the whole number to the left of the decimal point, then dividing the numerator by the denominator to arrive at the numbers you will place to the right of the decimal point.
Not Helpful 6 Helpful Always read what the fraction is saying.
Last Updated: April 8, References. To create this article, 43 people, some anonymous, worked to edit and improve it over time. There are 7 references cited in this article, which can be found at the bottom of the page.
This article has been viewed , times. Learn more Fractions and decimal numbers are simply two different ways of representing numbers that are less than one. To convert fractions to decimals, look at the fraction as a division problem.
Take the top number, or the numerator, of the fraction and divide it by the bottom number, or the denominator. You can do this in your head, by using a calculator, or by doing long division. After you divide, you can check your work by multiplying the decimal by the denominator to get the numerator.
To learn how to convert fractions to decimals using power of 10 denominators, keep reading! Did this summary help you? Yes No. Log in Social login does not work in incognito and private browsers. Please log in with your username or email to continue.
The fraction consists of three parts: the numerator , which is the top part of the fraction,  X Research source the slash, which goes between the numbers, and the denominator , which is the bottom part. For example, a pizza might be cut into 8 pieces. The denominator for the pizza would then be "8".
If you cut the same pizza into 12 slices, then the denominator would be Either way they represent the same whole, just cut up differently. One slice of the whole pizza would be represented by the numerator "1". Four slices would be represented by the numerator "4". Understand what a decimal number represents. Decimals do not use a slash to indicate what part of the whole they represent. Instead, the decimal point to the left of the numbers signifies that the numbers are below one.
With a decimal, the whole is considered to be based on 10, , , etc, depending on how many spaces to the right of the decimal the number goes. Decimals are also often read in a way that demonstrates their similarity to fractions. For example, 0. The fraction is represented by the numbers placed to the right of the decimal point.
Understand how the fractions and decimals are related. Fractions and decimals are only differing representations of any value that is less than one. The fact that both are used for many of the same things means that you will often need to convert them in order to add, subtract, or compare them. Part 2 of Think of a fraction as a math problem.
The easiest way to convert a fraction to a decimal is to read the fraction as if it were a division problem, with the number on the top being divided by the number on the bottom.
Divide the numerator of the fraction by the denominator of the fraction. You can do this math problem in your head, especially if the numerator and denominator are multiples of each other, with a calculator, or with long division. A simple way to do this is to simply put the divisor for example, 2 is the divisor in 1 divided by 2 on the bottom and the dividend 1 is the dividend in 1 divided by 2 on top.
Double check your math. Multiply the decimal equivalent you got by the denominator of the fraction you started with. You should come up with the numerator of the fraction you started with.
Part 3 of Try another way of converting a fraction into a decimal. This will help you to understand the relationship between fractions and decimals, as well as improving your other basic math skills.
Understand power of 10 denominators. A "power of 10" denominator is a denominator consisting of any positive number that can be multiplied to make a multiple of The numbers 1, or 1,, are powers of 10, but in most practical applications of this method, you will probably only be using numbers such as 10 or Learn to spot the easiest fractions that can be converted.
Any fraction that has 5 as the denominator is an obvious candidate, but fractions that have denominators of 25 are just as easily converted. Any number that already has an exponent of 10 as a its denominator will be very easy to convert. Multiply your fraction by another fraction. This second fraction will have a denominator that, when both denominators are multiplied together, creates a multiple of The top of this second fraction the numerator will be the same as its denominator.
This makes the second fraction equal one. It is a basic rule in math that multiplying anything by one does not change its value. This means that when we multiply the original fraction we had by a fraction that is equal to one we are not changing its value, we are simply changing how we represent that value. Multiply both numerators together and make the result the numerator of the answer. Then multiply the denominators and make the result the denominator of the answer. You will be left with a new fraction.
Convert your "power of 10" fraction into a decimal. Take the numerator of this new fraction and rewrite it with a decimal point at the end. Now look at the denominator and count how many zeros are in the number. Next, move the decimal point on your rewritten numerator to the left the number of spaces that are equal to the number of zeros in the denominator.
The denominator has one zero. So we start by rewriting "2" as "2. That gives us "0. You will quickly learn how to do this with all sorts of numbers with easy denominators. After a while, this process becomes pretty easy. You just look for a fraction with a power of 10 denominator or one that can be readily made into one and convert the top number into a decimal. Part 4 of Convert some common fractions you use regularly into decimals.
You can do this by dividing the numerator by the denominator the top number by the bottom number , as was done in the first part of this article. If you want to convert the fraction really quickly, you can simply use a search engine on the internet to search for the answer. Make flashcards with the fraction on one side and it's decimal equivalent on the other side.
Practicing these will help you memorize these fraction and decimal equivalents. Recall the decimal equivalents of a fraction from memory. This can be very useful for fractions you use regularly. First, convert the mixed number into an improper fraction. Multiply the whole number by the denominator, then add the result to the numerator to get the new numerator e. Divide the numerator by the denominator to get the decimal.
Not Helpful 9 Helpful To convert a fraction into a percent, first convert it into a decimal. Next, multiply the result by to get a percent. Simply move the decimal point to the right 2 places. For example,. Not Helpful 7 Helpful To convert a fraction into a decimal, divide the top number by the bottom number.