How To Convert Decimals To Fractions

How To Convert Decimals To Fractions – I quickly stop (time is very short today!) to share a connection diagram I created with my students during a lesson on converting fractions and decimals.

I was thinking how to introduce this skill, but decided to use good old coins! They had the background knowledge they needed and it would be in a familiar form.

How To Convert Decimals To Fractions

You know how sometimes you’re in the middle of a lesson and think to yourself, “Man, I wish management would come by now!”? This was one of those lessons.

Converting Percentages To Decimals And Fractions (video & Practice)

This anchor chart looks busy now that it’s done, but when I started teaching the lesson, it was a blank canvas. I’ve run it through every single note on this chord chart and you can see how we’ve progressed through the skill.

I started by asking them to tell me the dollar amount of the bill. One of course. Then I asked them what a penny was worth. One of course! Except… no! We talked about the value of one penny against the entire dollar. They concluded that the entire dollar is 100 parts compared to a penny. We wrote a fraction and printed it in words. Then we wrote it as a decimal number. We made some other examples (2p, 3p, etc.) and pasted a 100 chart to represent the value of a penny.

We continued down the same path for dimes, then dimes, then quarters. When we got to quarters, I started showing them how to convert fractions so that their denominators would be 10 or 100. This was where it made the most sense to me because they were all familiar with the idea that 1/4 of a dollar is one quarter.

The whole lesson only lasted about 20 minutes, but we had almost fully mastered the skill. It was easy for them to imagine that way. I definitely left the lesson feeling very happy with how it went!

Free 4th Grade Converting Fractions And Decimals Center

Then I gave them some decimal cards to make basic charts in their notebooks with pictures, fractions, and decimals. They were very pleased with themselves for achieving success so quickly.

We don’t have more practice with this so I made a new deck of task cards to play two quick games of SCOOT with. These task cards are a perfect choice for SCOOT because they are so quick to solve. The first group is select and the second group is add.

Click here to see quest cards in my TpT store. You can also read here about the free follow-up activity I did after this lesson! Looking for help? We also have some examples worked on and links to our support page to help you understand this concept.

It involves looking at how many decimal places the decimal number has and putting the decimal part as numerator and denominator as “1” followed by the same number of zeros as there are decimal places.

Free} Convert Fractions To Decimals Game: Grades 4 6

This converts the decimal fraction to a decimal (a fraction where the denominator is a power of 10).

These worksheets are similar to those in the section above, but often include mixed decimals greater than one to convert.

This short video tutorial shows some problems from Converting Mixed Decimals to Fractions To Solve Sheet 1, produced by West Explains Best maths channel.

We have fun fractions – decimals worksheets that involve finding clues to solve the puzzle.

Convert Fractions To Decimals Worksheet

Check out our Simplified Fractions practice area or try our worksheets to find the simplest form of a series of fractions.

Here you’ll find a collection of fractions help on a variety of fraction topics, from the simplest form to fraction conversions.

The Math Salamanders hopes that you will enjoy using our free printable math worksheets and all of our other math games and resources.

We welcome any comments about our site or working papers in the Facebook comment box at the bottom of each page.

Fractions To Decimals W2

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We’ve updated and improved our fraction calculators to show you step-by-step how to solve fraction problems!

Check out some of our most popular pages to see different sports activities and ideas you can use with your child

If you are a regular user of our site and appreciate what we do, please consider making a small donation to help with our costs. 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:

Convert Decimals To Fractions

The main takeaway from these definitions is that decimals and fractions are different ways of representing the same thing – a number that is not an integer.

Step 1: Rewrite the decimal number over one (as a fraction where the decimal number is the numerator and the denominator is one).

Step 2: Multiply the numerator and denominator by 10 to the number of digits after the decimal point. If there is one value after the decimal point, multiply by 10, if there are two, multiply by 100, if there are three, multiply by 1000, etc.

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

Learn How To Convert Between Fractions And Decimals

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

Note that the answer in this example is a mixed number (a combination of an integer and a fraction).

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

This free decimal calculator from not only performs the conversion, but also shows the calculations (using the three-step method described above), and is a useful tool because it will help you not only to find the right answer, but to understand the process.

Converting Between Fractions, Decimals And Percentages

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

There is also a repeating decimal number for a fraction calculator (follow the instructions on the website to perform this function).

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

Need more practice to learn how to convert a decimal number to a fraction? The following Decimal to Fraction worksheet and answer key will give you plenty of opportunities to apply the three-step process of converting a decimal number to a fraction.

Fraction Decimal Percentage Conversion Triangle

And if you’re looking for a more in-depth lesson on how to convert a decimal number to a fraction, check out our free Decimal to Fraction video lesson: We Use Cookies to Make Us Cool. By using our site, you agree to our cookie policy. Cookie settings

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There are 9 references cited in this article, which can be found at the bottom of the page.

Converting a decimal number into a fraction is not as difficult as it seems. If you want to know how to do that, just follow the steps given in it. If you want to convert a fraction to a decimal, you can do that as well. Both methods may be difficult at first, but they are easy once you practice!

How To Convert A Decimal To A Fraction: 11 Steps (with Pictures)

It is a “wiki”, similar to Wikipedia, which means that many of our articles are written by multiple authors. To create this article, 20 people, some anonymous, worked on editing and improving it over time. This article has been viewed 98,892 times.

To convert the trailing decimal point to a fraction, type all digits after the decimal point. Divide this number by a multiple of 10 where there are as many zeros as there are digits after the decimal point. For example, if the decimal point is 0.325, write 325 at the top of the fraction and 1000 at the bottom. Simplify the fraction by dividing the top and bottom numbers by their greatest common factor. To learn how to convert a repeating decimal number to a fraction, keep reading!