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.

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? Solution What will happen if we continue dividing?

5/7 into a decimal

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. Now, this very expression can tell a lot about the nature of the Quotient. As it can be seen the dividend is smaller than the divisor, so the Quotient will be smaller than 1. Finally, one last important piece of information is without a doubt the Remainder. The number will carry forward an Inconclusive Division , and also replace the dividend multiple times. So, we have 5 smaller than 7 which tells us that we require to introduce a Zero to the right of the dividend, and hence a decimal point to the quotient.

Solution What will happen if we continue dividing? Hence when we do long division, we can always stop dividing once we get any of the remainders we got in the previous steps.

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,

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.

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! This is a great question.

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To set your child on the right path, there are many skills and traits that you can start building and nurturing now. As a parent, you hope your child is extremely successful and likely become the next Gates, Zuckerberg, or Meg Whitman. Once the remainder repeats then since there are no new digits to cause other behaviour the quotient repeats too. 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. If you found our VisualFractions. Take advantage of our free downloadable resources and study materials for at-home learning. Now, this very expression can tell a lot about the nature of the Quotient. Doing so plants the seeds for future success. An alternative notation that seems to be used less nowadays involves placing a dot above the first and last digit of the repeating sequence. Plus, learn how Thinkster can help make your child math confident for life! Already a member? This helps our students learn to think flexibly and non-linearly.

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

We conclude our efforts here, therefore we have a Quotient of 0. Explanation using the division method: 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. 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. We just launched a YouTube Channel and need your help to share helpful educational videos. As we divide, we get a new remainder in each step, we keep dividing until we get the same remainder again. We have lots of calculations on this site about converting a fraction into a decimal but why would you want or need to do that in the first place? As it can be seen the dividend is smaller than the divisor, so the Quotient will be smaller than 1. 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. So, we get the new dividend as Here's the little secret you can use to instantly transform any fraction to a decimal: Simply divide the numerator by the denominator:. We can use the division method to solve this question.