How to Convert Fractions to Decimals

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Fractions and decimals are two commonly used forms of representing numbers. Fractions are a way of expressing a part of a whole, while decimals are a way of representing numbers in a base-10 system. Converting fractions to decimals is a fundamental skill in mathematics that is used in various real-world applications, such as converting measurements and calculating percentages. Understanding the process of converting fractions to decimals allows us to work with numbers in a more flexible and comprehensive manner. In this guide, we will explore the step-by-step process of converting fractions to decimals, providing examples and explanations to help you grasp this concept effectively.

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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] X Research 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.

Table of Contents

Steps

Learn about fractions and decimals

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Learn about the parts that make up a fraction and what they represent. Fractions consist of three parts: the numerator is the number at the top of the fraction, ^{[2] X The source studies} the slash between the numbers, and the denominator is the number below. ^{[3] X Research Sources}

• 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] X Research 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”.

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Understand the value that a decimal represents. Decimals do not use slashes to indicate what part of the sum they represent. Instead, the decimal point to the left of the numbers indicates that the numbers are less than one. With a decimal, the sum is treated as 10, 100, 1000, etc., depending on the number of spaces to the right of the decimal.

• 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.

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Understand the relationship between fractions and decimals. Fractions and decimals are just different representations of any value less than one. The fact that the two are used for many of the same things means that you will have to switch frequently to add, subtract, or compare them.

Convert fractions to decimals using division

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Think of fractions as a problem. The easiest way to convert a fraction to a decimal is to treat the fraction as a division operation, with the number above divided by the number below. ^{[5] X Research Sources}

• For example, the fraction 2/3 can also be written as 2 divided by 3.

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Divide the numerator of the fraction by the denominator of that fraction. You can do mental calculations in your head, especially if the numerator and denominator are multiples of each other, or with a calculator if it’s a large division.

• 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).

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Check the calculation results. Multiply the corresponding decimal you get by the denominator of the original fraction. You will get the result as the numerator of that fraction.

Convert fractions whose denominator is “multiple of 10”

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Try another way to convert fractions to decimals. This will help you understand the relationship between fractions and decimals, as well as improve your other basic math skills. ^{[6] X Research Sources}

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Understand what it means to be a multiple of 10. A “multiple of 10” denominator is a denominator that includes any positive number that can be multiplied by a multiple of 10. The numbers 1,000 or 1,000,000 are multiples. of 10, but in most practical applications of this method you will probably only use numbers like 10 or 100.

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Learn to spot the easiest fractions to convert. Fractions with 5 as the denominator are an obvious candidate, but fractions with a denominator of 25 are also easy to convert. Numbers whose denominator is a multiple of 10 are easy to convert.

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Multiply a fraction by another fraction. This second fraction has a denominator that, when the two denominators are multiplied together, produces a multiple of 10. The number above this second fraction (the numerator) will be the same as its denominator. That means the second fractional value is equal to one.

• 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] X Research 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.

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Convert “multiple of 10” fractions to decimals. 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 numbers there are. Next, move the decimal point in the rewritten numerator to the left the number of spaces equal to the zero in the denominator.

• 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

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Convert common fractions that you use frequently to decimals. You can do this by dividing the numerator by the denominator (the number above by the number below), as was done in the first part of this article.

• 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.

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Create information cards with fractions on one side and decimal equivalents on the other. Practicing these will help you memorize fractions and decimal equivalents.

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Recall in the beginning the decimal equivalent of the fraction. This can be very useful for fractions you use often.

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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] X Research 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 an essential skill in mathematics that allows for easier comparison and computation of numbers. The process involves dividing the numerator by the denominator to obtain a decimal representation of the fraction. By following the steps outlined in this guide, it becomes a straightforward task to convert any fraction into its decimal equivalent. Additionally, being able to convert fractions to decimals opens up possibilities for further mathematical operations and applications, such as solving equations, finding percentages, and working with ratios. Mastering this skill not only improves mathematical fluency but also enhances problem-solving abilities in various real-life contexts. Whether in school or everyday situations, the ability to convert fractions to decimals is a valuable tool that empowers individuals with a clearer understanding of numerical relationships.

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