Online fraction converter to decimal

How to Convert Fractions to Decimals A fraction is made up of two parts: a numerator the number above the line and a denominator the number below the line. It is used to represent how many parts we have out of the total number of parts of something.

The line in a fraction that separates the numerator and the denominator represents division and can be rewritten using the division symbol. So, to convert a fraction to a decimal, we have to divide the numerator by the denominator. We can use a calculator to do this.

But a more convenient way is to use our Fraction To Decimal Converter, especially in case of a mixed number. The general algorithm of conversion is as follows: 1 If the fraction is a mixed number, change it to an improper fraction. Converting between fractions and decimals can be used in real life when measuring out quantities, like in cooking, for example.

Usually we can see fractionally how much of an ingredient is to be taken from a pack. However, electronic scales measure weight in decimals. So, converting between fractions and decimals is a useful skill that can help you in the kitchen.

It is well known from mathematics that any rational number a fraction in our case can be written as either a terminating decimal or a repeating decimal. You just need to divide the numerator by the denominator. Convert fraction to decimal. Share converter:. Embed this tool! To reduce, find the greatest common factor for the numerator and denominator. Then, divide both the numerator and the denominator by the greatest common factor.

To complete the example above, we know that the greatest common factor of 75 and is For negative numbers, remove the negative symbol from the starting decimal, then follow the steps above. After converting to fraction form, add the negative sign back. Repeating decimal numbers require a slightly different process to convert to a fraction. A repeating decimal is a decimal number that continues infinitely, such as 1. These numbers are usually expressed in a rounded form, such as. The first step in transforming a repeating decimal is to create an algebraic equation to represent the decimal.

Start by creating an equation to assign the expression 1. The second step is to continue multiplying both sides of the equation by 10 until the repeating number is on the left side of the decimal point. If there are multiple repeating numbers that repeat in a pattern, then multiply by 10 until the repeating pattern is on the left side of the decimal point.

The third step is to create a new equation for x and multiply until the repeating decimal portion is to the right of the decimal point. Send me your comments. Share this Answer Link: help Paste this link in email, text or social media. Get a Widget for this Calculator. Follow CalculatorSoup:. Powered by MathJax.