A decimal number is a fractional number with a denominator of 10 or any power of 10. When converting a decimal to a fraction, we use the same techniques we use when converting fractions to decimals. Decimal numbers are written as the sum of the integer part and the fractional part. The integer part is an ordinary whole number. The fractional part is expressed as a numerator and denominator.

What are decimal numbers?

Decimal numbers are numbers that have a decimal point. They have a whole part (an integer) and a fractional part (a non-integer).

For example, 5.2 is decimal because it has 2 after the decimal point.

Decimals are used in many ways and contexts, from computer science to physics to chemistry. They are also used frequently in finance, business and economics.

The decimal system is the most commonly used representation of real numbers today; it is a positional notation with a radix (base) of 10. The decimal numeral system has been extended to other bases: binary (radix 2), octal (radix 8), hexadecimal (radix 16), and rationalized binary code systems such as floating point, fixed-point, excess-53 floating point or binary coded decimal can be implemented by some computers. Decimals were initially developed as an alternative to algorismic fractions because there was no widely accepted way of representing fractions mathematically without digraphia or ambiguity between the digits and written forms of higher order numerals such as ‘1/2’ or ‘5/6’.

Decimal numbers have an infinite amount of decimal places

The decimal number 1.5 has an infinite number of digits to the right of the decimal point because it is possible to keep dividing a number into smaller and smaller fractions. To put it simply:

1.5 = 1.50 = 1.500 = 1.5000...

Decimal numbers have an infinite number of digits in total, because they can be made up from any combination or sequence of numbers or letters.

What are fractions?

There are many ways to define fractions, but we’ll take a look at the most basic definition: a fraction is a number that can be divided by a common divisor. In other words, two numbers can be written as a fraction if they both have the same denominator (the bottom number). For example, 6/7 has a common denominator of 7 and is therefore considered equivalent to 1/7.

The fraction 4/6 could also be written as 2/3 because 6 and 3 share the same denominator (3). Fractions are often defined in this way because it makes them easier to compare with each other. For example, if you wanted to find out which is bigger—2 apples or 3 apples—you would just have to remember that 2 apples = 1/2 an apple while 3 apples = 2/3 of an apple.

How to use the decimal to fraction calculator

This calculator is among the simplest ones. All you have to do, is enter the decimal number, and it will be converted into a fraction. It also works the other way round, so if you wanted to convert a fraction into a decimal number, you can do that in this calculator as well.

FAQ

How to make a decimal into a mixed number?

A mixed number is a whole number combined with a fraction. In order for you to convert a decimal into a mixed number, the decimal number has to be larger than one.

How to turn a decimal 0.5 into a fraction?

0.5 means five parts in ten. So, when you convert it to a fraction, it would be 5/10. Then, since 5 and 10 can be divided by the same number, in this case 5, you could simplify it, by dividing the numerator and denominator by that number. Once you do, you get 1/2.

What is 0.333333333 as a fraction?

In this case, the 3 is repeating, so it goes on forever. This decimal number in fraction form is 1/3.