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Converting fractions to decimals is a fundamental skill in mathematics. It allows us to represent fractions in decimal form, which can be more practical and easily understood in certain contexts. Whether you are a student trying to solve a math problem or someone simply looking to understand the concept better, learning how to convert fractions to decimals is essential. In this guide, we will discuss the step-by-step process of converting fractions to decimals, providing explanations and examples along the way. By the end, you will have a clear understanding of how to confidently convert any fraction into its decimal form.
This article was co-written by Grace Imson, MA. Grace Imson is a math teacher with over 40 years of teaching experience. Grace is currently a math teacher at City University of San Francisco and previously worked in the math department of Saint Louis University. She has taught math at the elementary, middle, high, and college levels. She holds a master’s degree in education from Saint Louis University, majoring in management and supervision in education.
There are 7 references cited in this article that you can see at the bottom of the page.
This article has been viewed 160,929 times.
Fractions and decimals are simply two ways of representing numbers less than one. [1] XResearch Source Since any number less than one can be represented as a fraction or a decimal, specific mathematical equations will help you find the decimal equivalent of a fraction. numbers and vice versa.
Steps
Learn about fractions and decimals
![Image titled Convert Fractions to Decimals Step 1](https://www.wikihow.com/images_en/thumb/e/ec/Convert-Fractions-to-Decimals-Step-1-Version-6.jpg/v4-728px-Convert-Fractions-to-Decimals-Step-1-Version-6.jpg)
- The denominator represents the total number of equal parts. For example, a pizza can be cut into 8 pieces. The denominator of the pizza will be “8”. If you cut the same pizza into 12 pieces, the denominator would be 12. Either way, they both represent the same sum, just cut out different portions. [4] XResearch Sources
- The numerator represents a part, or several parts, of the sum. A slice of pizza will be represented by the numerator “1”. Four pieces will be represented by the numerator “4”.
![Image titled Convert Fractions to Decimals Step 2](https://www.wikihow.com/images_en/thumb/1/1f/Convert-Fractions-to-Decimals-Step-2-Version-6.jpg/v4-728px-Convert-Fractions-to-Decimals-Step-2-Version-6.jpg)
- Decimals are also often read in the same way as fractions. For example, 0.05 is often read aloud as “five percent,” like 5/100. Fractions are represented by numbers to the right of the decimal point.
![Image titled Convert Fractions to Decimals Step 3](https://www.wikihow.com/images_en/thumb/e/eb/Convert-Fractions-to-Decimals-Step-3-Version-6.jpg/v4-728px-Convert-Fractions-to-Decimals-Step-3-Version-6.jpg)
Convert fractions to decimals using division
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- For example, the fraction 2/3 can also be written as 2 divided by 3.
![Image titled Convert Fractions to Decimals Step 5](https://www.wikihow.com/images_en/thumb/a/a1/Convert-Fractions-to-Decimals-Step-5-Version-6.jpg/v4-728px-Convert-Fractions-to-Decimals-Step-5-Version-6.jpg)
- A simple way to do this is to just put the divisor (e.g. 2 is the divisor in a 1 by 2 division) below and the divisor (1 is the divisor in a 1 by 2 division) above. . So 1 divided by 2 would be half (1/2).
![Image titled Convert Fractions to Decimals Step 6](https://www.wikihow.com/images_en/thumb/8/8c/Convert-Fractions-to-Decimals-Step-6-Version-5.jpg/v4-728px-Convert-Fractions-to-Decimals-Step-6-Version-5.jpg)
Convert fractions whose denominator is “multiple of 10”
![Image titled Convert Fractions to Decimals Step 7](https://www.wikihow.com/images_en/thumb/e/e6/Convert-Fractions-to-Decimals-Step-7-Version-5.jpg/v4-728px-Convert-Fractions-to-Decimals-Step-7-Version-5.jpg)
![Image titled Convert Fractions to Decimals Step 8](https://www.wikihow.com/images_en/thumb/4/44/Convert-Fractions-to-Decimals-Step-8-Version-5.jpg/v4-728px-Convert-Fractions-to-Decimals-Step-8-Version-5.jpg)
![Image titled Convert Fractions to Decimals Step 9](https://www.wikihow.com/images_en/thumb/9/98/Convert-Fractions-to-Decimals-Step-9-Version-4.jpg/v4-728px-Convert-Fractions-to-Decimals-Step-9-Version-4.jpg)
![Image titled Convert Fractions to Decimals Step 10](https://www.wikihow.com/images_en/thumb/4/40/Convert-Fractions-to-Decimals-Step-10-Version-5.jpg/v4-728px-Convert-Fractions-to-Decimals-Step-10-Version-5.jpg)
- It’s a basic rule in math, multiplying anything by the number one does not change its value. This means that when we multiply the original fraction we have by a fraction with a value of one, that fraction will not change its value, it simply changes the way we represent it. .
- For example, the fraction 2/2 is really just 1 (because 2 divided by itself equals 1). If you were trying to convert 1/5 into a fraction with a denominator of 10, you would multiply this fraction by 2/2. The result will be 2/10. [7] XResearch Sources
- To multiply two fractions, just multiply straight through. Multiply both numerators together and record the result of multiplying the numerator. Next, multiply the denominators and record the result of that denominator multiplication. You will have a new fraction.
![Image titled Convert Fractions to Decimals Step 11](https://www.wikihow.com/images_en/thumb/a/a2/Convert-Fractions-to-Decimals-Step-11-Version-5.jpg/v4-728px-Convert-Fractions-to-Decimals-Step-11-Version-5.jpg)
- For example, you have the number 2/10. The denominator has a zero. So let’s start by rewriting “2” to “2.” (this does not change the value of the number) and move the decimal point one space to the left. The result is “0.2”.
- You will quickly learn this with all numbers with simple denominators. Do it a few times and you’ll find it pretty easy. You simply find a fraction whose denominator is a multiple of 10 (or a denominator that can easily form one) and convert the numerator to a decimal.
Memorize the decimals corresponding to important fractions
![Image titled Convert Fractions to Decimals Step 12](https://www.wikihow.com/images_en/thumb/4/4e/Convert-Fractions-to-Decimals-Step-12-Version-3.jpg/v4-728px-Convert-Fractions-to-Decimals-Step-12-Version-3.jpg)
- The basic fractions to convert to decimal that you should memorize are 1/4 = 0.25, 1/2 = 0.5 and 3/4 = 0.75.
- If you want to convert fractions quickly, just use an internet search engine to find the answer. For example, you can enter “decimal of 1/4” or a similar phrase.
![Image titled Convert Fractions to Decimals Step 13](https://www.wikihow.com/images_en/thumb/5/5c/Convert-Fractions-to-Decimals-Step-13-Version-2.jpg/v4-728px-Convert-Fractions-to-Decimals-Step-13-Version-2.jpg)
![Image titled Convert Fractions to Decimals Step 14](https://www.wikihow.com/images_en/thumb/c/c9/Convert-Fractions-to-Decimals-Step-14-Version-3.jpg/v4-728px-Convert-Fractions-to-Decimals-Step-14-Version-3.jpg)
This article was co-written by Grace Imson, MA. Grace Imson is a math teacher with over 40 years of teaching experience. Grace is currently a math teacher at City University of San Francisco and previously worked in the math department of Saint Louis University. She has taught math at the elementary, middle, high, and college levels. She holds a master’s degree in education from Saint Louis University, majoring in management and supervision in education.
There are 7 references cited in this article that you can see at the bottom of the page.
This article has been viewed 160,929 times.
Fractions and decimals are simply two ways of representing numbers less than one. [1] XResearch Source Since any number less than one can be represented as a fraction or a decimal, specific mathematical equations will help you find the decimal equivalent of a fraction. numbers and vice versa.
In conclusion, converting fractions to decimals is a simple process that can be easily accomplished by following a few steps. By dividing the numerator by the denominator or using long division, one can obtain the decimal representation of any given fraction. It is important to remember that recurring decimals may arise, and in such cases, rounding or using a line above the repeating decimal portion is necessary. Additionally, understanding the relationship between fractions and decimals is crucial in practical applications, such as in measurements or calculations, where decimals are often more convenient. Converting fractions to decimals allows for easy comparison, manipulation, and understanding of numerical values. Mastering this skill is fundamental for mathematical success and can greatly improve one’s ability to work with numbers effectively.
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