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Decimal to Fraction Calculator

You can use this calculator to converts a decimal number to a fraction.


Decimal to Fraction
Enter a Decimal Number:              
Trailing decimal places to repeat?
 
Explanation

Decimal to fraction

 

In daily life, we often use different words to express the same thing like we could describe the same laptop as small or tiny or little. All these words mean that the laptop is not big. Fractions, decimals, and percentages are same as the words tiny, small and little; they are all just different ways of expressing parts of a whole.

Sometimes it is useful to convert one type of number into another type for example,

It is much easy to add ¼ and 0.5 if we turn 0.5 into a fraction similarly the for some people the addition is easier if 0.5 is converted into a fraction.

In mathematics one of the basic concepts are decimals and fractions

Before going deep how the conversion of decimal to fraction takes place it is very important to latch on about what decimal and fraction are?

Decimals denote to set up of numbers and arithmetic based on the number ten, tenth parts and powers of ten.

Fractions are a numerical sum that is not a whole number.

Approaching towards our main topic while converting decimal to a fraction you need to keep few points in mind.

1.    Write down the decimal divided by one.

2.    Multiply both top and bottom by 10 for every number after the decimal point. (For example – if there are three numbers after decimal point use 1000, etc.)

3.    Reduce the fraction.

Example: Convert 0.625 into a fraction

Step1. Write down 0.625 divided by 1

                                          0.625/1

Step2. Multiply both top and bottom by 1000 (3 digits after the decimal

             Point.)

                                          625/1000

Step3. Reduce the fraction

                       625/1000 = 25/40 = 5/8

                          Answer = 5/8
REMARK: If you are doing the conversion of decimals to 0.333… (Here 3 are repeating forever which in mathematics we call 3 recurring) then we follow the special argument. In this case, we write:

                                0.333…/1

Then multiply both top and bottom by 3:

                             0.333/1 = 0.333/1

And 0.999=1

                       Answer = 1/3

Another method can be the use of decimal to fraction calculator.

Steps for decimal to fraction converter:

Step1. Number:   0.25

Step2. Whole. Decimal:  0.25

As a decimal fraction: 25/100

The Greatest Common factor of 25 and 100 is: 25

Reduce the fraction: (25/25)/ (100/25)

Simplified: 1/4

Another method could be by using place values:

0.75

Tenths

In decimals, the number immediately to the right of the decimal point is in the tenths place

The place to the right of the tenths place is the hundredths place.

0.75

To convert a decimal first, we will check the place value of the last number to the right.

0.75

In 0.75, 5is in the hundredths place.

0.75 = 75/100

This means our decimal is equal to 75 hundredths. 75 hundredths can also be written as 75/100.

Now we have our fraction. But it is always better to reduce fractions it makes it easy to read, process and for further calculations.

Thus conversion either from decimal to fraction or fraction to decimal is an important mathematical tool.