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How to convert a fraction to a decimal

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Fraction to Decimal: An Easy Way to Convert. An Easy Way to Convert Fraction to Decimal Are you ready to learn how to convert a fraction to a decimal? Click here to learn how to do the opposite and convert a decimal to a fraction Before you learn an easy way to convert a fraction to a decimal with and without a calculator , you need to understand what decimals and fractions are: A decimal number is used to represent a non-whole number where a decimal point is used followed by digits that represent a value that is smaller than one.

How to Convert Fraction to Decimal You can easily convert a fraction to a decimal by using a few simple strategies: 1. By Using a Calculator The easiest way to convert a fraction to a decimal is to divide the numerator the top of the fraction by the denominator the bottom of the fraction by using a calculator. Without a Calculator How can you convert a fraction to a decimal without a calculator? The solution is using long division. Click here for more free resources Fraction to Decimal Chart.

Fraction to Decimal Worksheet with Answers Do you need more practice with learning how to convert a fraction to a decimal? Looking For Number Talk Strategies? We Got You. By Anthony Persico Anthony is the content crafter and head educator for YouTube's MashUp Math. 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. 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. wikiHow Staff Editor Staff Answer.

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. Looking for more fun ways to learn on wikiHow?

Learn about yourself with Quizzes or try our brand new Train Your Brain word game. Not Helpful 10 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. Not Helpful 38 Helpful Include your email address to get a message when this question is answered.

By using this service, some information may be shared with YouTube. You Might Also Like How to. How to. About This Article. Co-authored by:. Grace Imson, MA. Co-authors: Key points to remember A numerator is the number above the line A denominator is the number below The line that separates the numerator and the denominator is a divide symbol To convert a fraction to a decimal, divide the numerator by the denominator.

For example: 1 is the numerator and 2 is the denominator. This fraction represents one half. You can convert a number from fractions and decimals easily by using the steps below. When 2 is multiplied by 5, it makes Example questions Below are two problems that need the fraction to be converted into a decimal. Example question 1 Question: What is four-fifths as a decimal? First, find a number that when multiplied by 5 will make 10, or 1, This means 2 is our number.

Next, multiply 4 by 2 to make 8 and 5 by 2 to make Following are the steps showing the procedure of the conversion of fractions to decimals by converting the denominator method.

Note that this method is applicable only for the fractions whose denominator can be multiplied with a number to get a power of Fraction to decimal chart is a direct approach to get the converted values easily. The chart gives us the values of some most commonly used fractions in terms of decimals and vice-versa. Fractions can be less than or greater than 1. They are called proper fractions. The decimal values of proper fractions are always less than 1.

They have decimal values of 1 or more. Let us have more clarity about how the numbers will look like when we convert fractions to decimal form using the fraction to decimal chart given below:. Check out this article on Fraction to Decimal Chart for an in-depth understanding. Check our fraction to decimal calculator and try a few conversions at your end. It is a free online tool that calculates the decimal form of a given fraction.

This free online fraction to decimal calculator helps you to calculate the decimal value of fractions within a few seconds. Example 1. Convert the following fraction to decimal. Example 2. Ron bought bananas from a nearby fruit vendor but later found out that 50 of them were rotten.

 


How to convert a fraction to a decimal -



 

Let us learn different ways of converting fractions to decimals in this article. Any number which is represented in a fraction form is divided into two parts i. Generally, to convert a number from fraction to decimal form we divide the numerator by the denominator. While the decimal numbers are formed by connecting the whole number part and fractional part through a decimal point, for example, 7.

Let us explore some more illustrations to understand the fraction to decimal conversion in detail. Here is a real-life example to understand fraction to decimal conversion. Emma divides her cardboard into 12 equal parts.

She painted the flowers of different colors on each part of the cardboard. Amongst the 12 slots, she reserved 5 equal portions for red color flowers, 3 portions for green color flowers, and 4 for orange color flowers. Let us write the portion given to flowers of each color in a fraction as well as in decimal form. Let us look at the fraction and decimal representation given in the chart below to have more clarity about the fraction to decimal conversion.

When a number is present in a fraction form i. In such a case we divide the numerator by the denominator. Let us understand the steps involved in fraction to decimal conversion by the long division method with the help of an example. Try to read out the steps with the image given below for having a better understanding of converting fractions to decimals. In the next section, let us discuss another method of the fraction to decimal conversion that is by converting the denominator into a power of Another method to convert the fraction to a decimal is by converting the denominator of the fraction to powers of 10 like 10, , , etc.

Following are the steps showing the procedure of the conversion of fractions to decimals by converting the denominator method. Note that this method is applicable only for the fractions whose denominator can be multiplied with a number to get a power of Fraction to decimal chart is a direct approach to get the converted values easily. The chart gives us the values of some most commonly used fractions in terms of decimals and vice-versa. Fractions can be less than or greater than 1.

They are called proper fractions. The decimal values of proper fractions are always less than 1. They have decimal values of 1 or more. Let us have more clarity about how the numbers will look like when we convert fractions to decimal form using the fraction to decimal chart given below:.

Check out this article on Fraction to Decimal Chart for an in-depth understanding. Check our fraction to decimal calculator and try a few conversions at your end. It is a free online tool that calculates the decimal form of a given fraction. This free online fraction to decimal calculator helps you to calculate the decimal value of fractions within a few seconds.

Example 1. Convert the following fraction to decimal. Example 2. Ron bought bananas from a nearby fruit vendor but later found out that 50 of them were rotten.

Can you tell the fraction and the decimal value of the rotten bananas to the total bananas bought by Ron? To convert the fraction to decimal in this case, we will divide the numerator by the denominator.

Divide 1 by 3. Example 3: There are 80 cookies in a basket. What fraction of the cookies are basic? Using fraction to decimal calculator write your answer in decimal. go to slide go to slide go to slide. go to slide go to slide. Fraction to decimal in math is referred to as a procedure that we generally use to convert the fraction value to decimal value.

While converting a fraction to a decimal, we divide the parts of fractions, i. Decimal gives a more precise value as compared to fractions. In other words, the fraction to decimal formula states that we just need to divide the numerator by denominator to get the decimal equivalent of the fraction. It is a non-terminating non-repeating decimal number that extends up to infinity.

There are two methods to convert a fraction to decimal form which are - division method and the method of changing the denominator to a power of To convert a mixed fraction to a decimal , we first need to convert it into an improper fraction. Then divide the numerator by denominator to convert it into decimal form. A fraction to decimal conversion chart or table is a quick representation of decimal values of some commonly used fractions. The easiest way to convert a fraction to a decimal is the division method.

In this, we have to divide the numerator by the denominator of the fraction to get its decimal equivalent in the quotient. Learn Practice Download. Convert Fraction to Decimal 2.

How to Convert Fraction to Decimal? Fraction to Decimal Chart 4. Fraction to Decimal Calculator 5. FAQs on Fraction to Decimal Convert Fraction to Decimal.

Fraction to Decimal Examples Example 1. Have questions on basic mathematical concepts? Become a problem-solving champ using logic, not rules. Practice Questions on Fraction to Decimal. Explore math program. Download FREE Study Materials. Worksheets on Fraction to Decimal. Math worksheets and visual curriculum. Book a FREE Class.

   

 

Conversion of Fractions from Binary to Decimal and Vice Versa - File Exchange - MATLAB Central.



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