Convert the following fractions into decimal numbers

Let us learn different ways of converting fractions to decimals in this article. Any number which is represented in a fraction form is divided into two parts i. Generally, to convert a number from fraction to decimal form we divide the numerator by the denominator. While the decimal numbers are formed by connecting the whole number part and fractional part through a decimal point, for example, 7.

Hello and welcome to this video about converting fractions to decimals and percents! In this video, we will explore:. One way to think about fractions is to think of them as division. But using our knowledge of place value , we can make it work:. The sequence of adding a decimal and dividing repeats as often as necessary until either the remainder is 0 or the decimal begins to repeat.

Convert the following fractions into decimal numbers

Convert a fraction to a decimal. Convert proper and improper fractions to decimals. Convert a ratio to a decimal. This calculator shows the steps and work to convert a fraction to a decimal number. In a fraction, the fraction bar means "divided by. Dividing numbers is easy with a calculator. If you need to do long division by hand put the top number of the fraction numerator inside the division bracket and the bottom number denominator outside, to the left of the division bracket. Complete the division to convert the fraction to a decimal. You can reduce the fraction to lowest terms first to make the long division math a bit easier. You can also see our Long Division Calculator with Decimals to convert a fraction to a decimal and see the work involved in the long division. If you would like help reducing fractions to lowest terms see the Simplifying Fractions Calculator. To convert a decimal to a fraction see the Decimal to Fraction Calculator.

Fraction to Decimal Calculator. Let us look at the fraction and decimal representation given in the chart below to have more clarity about the fraction to decimal conversion. Complete the division to convert the fraction to a decimal.

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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. If you choose the custom option, another field will pop up in the fraction to decimal calculator.

Convert the following fractions into decimal numbers

Use this calculator to easily convert a fraction to a decimal notation number. Express any fraction as a decimal. Calculating a decimal number from a fraction is really simple. Just divide the numerator by the denominator and the resulting real number is your decimal equivalent to the initial fraction. While simple insofar as it is just a basic division, it can be complex to perform in practice depending on the numbers involved. This is why using an online calculator like ours might be a real time-saver when doing your homework, or performing fraction to decimal conversions for other purposes. By performing the division of 8 by 20 we get the decimal equivalent of 0. If the denominator is not a power of ten, it needs to be multiplied or divided by a number such that it becomes a power of ten. In the first example we could divide both by two to get the end result.

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Follow CalculatorSoup:. They are called proper fractions. Last updated: October 17, Check out this article on Fraction to Decimal Chart for an in-depth understanding. Example 2. Q What does percent mean? In such a case we divide the numerator by the denominator. How to Convert Fraction to Decimal? In other words, the fraction to decimal formula states that we just need to divide the numerator by denominator to get the decimal equivalent of the fraction. If you would like help reducing fractions to lowest terms see the Simplifying Fractions Calculator. Convert proper and improper fractions to decimals. Decimal gives a more precise value as compared to fractions. Try to read out the steps with the image given below for having a better understanding of converting fractions to decimals.

Convert a fraction to a decimal.

This fraction can be converted into a decimal by dividing 4 by 5. Convert Fraction to Decimal 2. Let us understand the steps involved in fraction to decimal conversion by the long division method with the help of an example. Generally, to convert a number from fraction to decimal form we divide the numerator by the denominator. Fractions can be converted into decimals by using long division. All percents can be expressed as a fraction because percents are always out of Complete the division to convert the fraction to a decimal. The chart gives us the values of some most commonly used fractions in terms of decimals and vice-versa. It is a non-terminating non-repeating decimal number that extends up to infinity. You can reduce the fraction to lowest terms first to make the long division math a bit easier. Everything is the same and the process can be stopped when it is clear that the decimal repeats. Divide 1 by 3.