How To Convert Fractions To Decimals

How To Convert Fractions To Decimals – Before you learn an easy way to complete these two conversions (with and without a calculator), let’s make sure you understand what decimals and fractions are:

The key takeaway from these definitions is that decimals and fractions are different ways of representing the same thing—a number that is not a whole number.

How To Convert Fractions To Decimals

Step One: Rewrite the decimal above one (as a fraction where the decimal is the numerator and the denominator is one).

Convert Fractions To Decimals Worksheet

Step Two: Multiply the numerator and denominator by 10 to the power of the number of decimal places. If there is one value after the decimal, multiply by 10, if two, multiply by 100, if three, multiply by 1,000, etc.

To convert 0.25 to a fraction, there are two digits after the decimal point. Since 10 to the 2nd power is 100, we need to multiply the numerator and denominator by 100 in the second step.

By following these three steps in the decimal to fraction example above, you can conclude that the decimal 0.25, when converted to a fraction, is equal to 1/4.

Notice that the answer in this example is a mixed number (a whole number and a fraction together).

Converting Fractions Into Decimals & Vice Versa

If you need a quick and easy way to convert a decimal to a fraction, then you can take advantage of the many free online decimal to fraction conversion calculators available.

This free decimal to fraction calculator from not only performs the conversion, but also displays the calculations (using the three-step method shown above), which is a handy tool because it not only help you find the right answer, but also understand the process.

To use the Decimal to Fractions calculator, simply enter the decimal value and press Calculate. Depending on the value you enter, the calculator will convert the decimal into a fraction or a mixed number.

There is also a repeating decimal fractions calculator (follow the instructions on the webpage to enable this function).

Fraction To Decimal Chart

Looking to learn more about working with decimals and understanding place value? Click here for more free resources

Need more practice learning how to convert decimals to fractions? The following decimal to fraction worksheet and answer key will give you many opportunities to use the three-step process to convert a decimal to a fraction.

And if you’re looking for a more in-depth lesson on how to convert a decimal to a fraction, check out this free Decimal to Fraction video lesson: We use cookies to make many things. By using our website, you agree to our cookie policy.Cookie settings

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Ex 8.2, 2

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Converting a common fraction to a decimal is easy ​​​​​​​once you understand it. You can do this by simple long division, multiplication, or even using your calculator if you don’t want to do it by hand. Once you learn how to master this technique, you can easily move between fractions and decimals.

Is a “wiki”, similar to Wikipedia, which means that many of our articles are co-authored by multiple authors. To create this article, 114 people, some anonymous, worked to edit it and improve it over time. This article has been viewed 659,567 times.

To change a common fraction to a decimal using long division, start by writing the fraction as a division problem. For example, if your common fraction is ¾, rewrite it by putting the 4 outside the division bracket and the 3 inside the bracket. Then put a 0 with a decimal point above the parenthesis to show that the answer is less than 1. Also, put a decimal and a 0 after the 3. Finally, use big division to get 0.75 as your answer . To learn more, including how to divide a fraction with a repeating decimal, scroll down. Sometimes it’s easier to use decimals, like when we’re working with money, and other times it’s easier to use fractions, like when we’re cooking.

Converting Fractions To Decimals Activity

The key point is that decimals and fractions are different ways of representing a number that is not a whole number.

A decimal indicates the “part” using local values ​​to the right of the decimal point, and the whole is the value to the left. In a fraction, the numerator is the part and the denominator is the whole.

The key to converting a fraction to a decimal involves long division as Math Net notes. So this means that if we can divide we can convert fractions to decimals!

Now all we need to do is follow our rules for dividing decimals and whole numbers. thus converting our fraction to a decimal.

Fraction To Decimal — Conversion & Practice

Our goal is to convert three fifths from a fraction to a decimal. What we need to do is to do the decimal division where the dividend is 3 and the divisor is 5.

As in our previous example, we want to convert nine sixteenths to its decimal form using long division.

So, since we know how to divide using decimals, we can easily convert fractions to decimals!

There are times when you need to add, subtract, multiply or divide – meaning we need to change all the fractions to decimals or vice versa before we can do the operation.

Best Fraction To Decimal Chart Printable

For example, suppose Edmund’s dog weighs 30.6 pounds and Lucy’s dog weighs 25 3/4 pounds, how much do both dogs weigh?

But these values ​​are not of the same type, so we must first convert 25 and 3/4 to a decimal before we can add the two weights.

Sometimes we are asked to compare fractions with decimals or even list values ​​in order from least to greatest.

But the problem is that we cannot compare two values ​​unless they are of the same type (ie, all fractions or all decimals). Therefore, to compare fractions and decimals, we must first convert each fraction to decimal form. I’m taking a quick break (time is so short these days!) to share an anchor chart I made with my students during a lesson on converting fractions and decimals.

Convert Fraction To Decimal Worksheet

I debated how to introduce this ability, but decided to use good old coins! They have the knowledge they need and it’s in a familiar format.

You know how sometimes you’re in the middle of a class and you think to yourself, “MAN I wish management would come in right now!”? This is one of the lessons.

This anchor chart looks really busy now that it’s finished, but when I started teaching the lesson, it was a blank canvas. I’ve taken them to each note on this anchor chart and you can see how we’ve developed the skill.

I started by asking them to tell me the value of a dollar. One, of course. Then I asked them the value of a penny. One, of course! Except… no! We’re talking about the value of a penny versus a WHOLE dollar. They concluded that there are 100 parts of a whole dollar compared to a penny. We write the fraction and put it in words. Then, we write it as a decimal. We created a few more examples (2 pence, 3 pence, etc.) and put a 100 chart to represent the price of a penny.

How To Convert Repeating Decimals To Fractions: 9 Steps

We continue the same path for dimes, then nickels, then quarters. When we got to fourth, I started showing them how to convert fractions so they have a denominator of 10 or 100.  This is the most logical place to do it because everyone is familiar with the idea that 1/4 of a dollar a quarter.

The whole lesson is only about 20 minutes, but we are almost complete with the skill. It is very easy for them to imagine themselves like that. I actually left the class feeling really happy with how it turned out!

Then I gave them some decimal cards to make basic graphs in their graphing, fractions and decimals notebooks. They are very pleased with themselves for finding success so quickly.

We didn’t have much more practice with this, so I made a new set of task cards to play two quick games of SCOOT. These task cards are a perfect choice for SCOOT as they are easy to solve. The first set is the identifier and the second set adds to it.

Converting Fraction To Decimals Worksheets|

Click HERE to see the task cards in my TpT store. You can also read about the FREE follow-up activity I did to this lesson HERE!