5/7 into a decimal

A fraction is written in terms of two parts: the number on top is called the numerator and the number on the bottom is called the denominator. We can use the division method to solve this question. To get a decimal, simply divide the numerator 5 by the denominator Take 5/7 into a decimal of our free downloadable resources and study materials for at-home learning.

The decimal form of a fraction is the value of the fraction when the values are divided. As we divide, we get a new remainder in each step, we keep dividing until we get the same remainder again. We can stop dividing when a remainder gets repeated. If we continue dividing, we will be getting the same digits in the quotient over and over again. Hence when we do long division, we can always stop dividing once we get any of the remainders we got in the previous steps. Want to practice?

5/7 into a decimal

Long divide 5 by 7 , stopping when the remainder repeats:. Once the remainder repeats then since there are no new digits to cause other behaviour the quotient repeats too. In case you are not familiar with the bar notation: A bar is drawn over a sequence of digits to indicate that they repeat indefinitely. An alternative notation that seems to be used less nowadays involves placing a dot above the first and last digit of the repeating sequence. The dots shown by Socratic are rather small, so I tend to avoid using them here, but they can be more convenient than drawing a bar over a long repeating section. George C. May 2, Explanation: Long divide 5 by 7 , stopping when the remainder repeats: Once the remainder repeats then since there are no new digits to cause other behaviour the quotient repeats too. To convert this into a percentage "per-hundred-age" , multiply by So in our example: 0. Related questions What is a percent?

Here's a little real life example of converting a fraction to a decimal when using quantities.

We have all come across Fractions at some point in time as they are used for expressing a division operation between two numbers. First, we get started by getting the Dividend and the Divisor out of our fraction. This is done as follows:. Knowing that the numerator is the Dividend, and the denominator is the Divisor. Now, we can smoothly move on to the Quotient as well, which is defined as the solution to a division. So, a Quotient under the given circumstances would look like this:. Here, we have completely transformed the expression for the fraction, and now we are ready to solve this division using the Long Division Method.

If "how to turn a fraction into a decimal" has left you in a pickle recently, you've found the right tool - this fraction to decimal converter. It is fast, easy-to-use, and even lets you set the rounding. In case you'd like to perform the reverse operation, we've also made a decimal to fraction calculator. You may want to take a look at the fraction to percent calculator too. Choose the fraction form. If the fraction doesn't include a whole number, leave "simple," if it does - choose "mixed. Input the top part of your fraction into the "numerator" field , and the bottom part into the "denominator" field of the fraction to decimal calculator. Input the whole number too, if you've chosen the mixed number option. You can set to how many decimal places you want to round the result to in the fourth field of the fraction to decimal converter.

5/7 into a decimal

In this very short guide, we'll show you how to turn any fraction into a decimal in 3 seconds of less! Here we go! Play this very quick and fun video now! First things first, if you don't know what a numerator and a denominator are in a fraction, we need to recap that:. Here's the little secret you can use to instantly transform any fraction to a decimal: Simply divide the numerator by the denominator:. I wish I had more to tell you about converting a fraction into a decimal but it really is that simple and there's nothing more to say about it. If you want to practice, grab yourself a pen and a pad and try to calculate some fractions to decimal format yourself. If you're really feeling lazy you can use our calculator below instead!

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This is done as follows:. Log in to your account and see answers! Already a member? The decimal form of a fraction is the value of the fraction when the values are divided. Get PDF. This makes converting between fractions and decimals a useful skill in cooking. We really appreciate your support! Want more free resources? Log in. And now it is time for the remainder to become the new dividend, we can see that 1 needs a Zero to be solved further. Close panel. So in our example: 0. Email See my results Please wait If you want to practice, grab yourself a pen and a pad and try to calculate some fractions to decimal format yourself.

Convert a fraction to a decimal. Convert proper and improper fractions to decimals.

Want more free resources? You can change email preferences in account settings. So, we get the new dividend as By clicking the create your account button, you agree to our Terms of Use and Privacy Policy. You can reuse this answer Creative Commons License. Become a Premium Member and get: - Unlimited access to all K8 printable worksheets and answer sheets. George C. Try for Free. This is a great question. Remember Find More Fractions to Decimals. One thing we teach our students at Thinkster is that there are multiple ways to solve a math problem.