0.10004 as a Fraction

0.10004 as a fraction = 10004/100000 or 2501/25000

Scroll down for detailed steps on how to convert 0.10004 into a fraction.
Fraction 0 10004/100000 graphically represented in pie chart form:


Steps to convert 0.10004 into a fraction
Write 0.10004 as  
0.10004/1

Multiply both the numerator and denominator by 10 for each digit after the decimal point.

0.10004/1
  =  
0.10004 x 100000/1 x 100000
  =  
10004/100000


In order to reduce the fraction find the Greatest Common Factor (GCF) for 10004 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.


The factors of 10004 are: 1  2  4  41  61  82  122  164  244  2501  5002  10004 
The factors of 100000 are: 1  2  4  5  8  10  16  20  25  32  40  50  80  100  125  160  200  250  400  500  625  800  1000  1250  2000  2500  3125  4000  5000  6250  10000  12500  20000  25000  50000  100000 
The Greatest Common Factor (GCF) for both 10004 and 100000 is: 4

Now to reduce the fraction we divide both the numerator and denominator by the GCF value.

10004/100000
  =  
10004 ÷ 4/100000 ÷ 4
  =  
2501/25000


As a side note the whole number-integral part is: empty
The decimal part is: .10004 = 10004/100000
Full simple fraction breakdown: 10004/100000
= 5002/50000
= 2501/25000

Scroll down to customize the precision point enabling 0.10004 to be broken down to a specific number of digits.

The page also includes information about the different type of fractions and what type of fraction 0.10004 is when converted.


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Level of precision for 0.10004 as a fraction

The level of precision are the number of digits to round to. Select a lower precision point below to break decimal 0.10004 down further in fraction form. The default precision point is 5. If the last trailing digit is "5" you can use the "round half up" and "round half down" options to round that digit up or down when you change the precision point.

For example 0.875 with a precision point of 2 rounded half up = 88/100, rounded half down = 87/100.


select a precision point:


10004/100000
= 5002/50000
= 2501/25000

Numerator & Denominator for 0.10004 as a fraction

0.10004 = 0 10004/100000
numerator/denominator = 10004/100000


Is 10004/100000 a mixed, whole number or proper fraction?

A mixed number is made up of a whole number (whole numbers have no fractional or decimal part) and a proper fraction part (a fraction where the numerator (the top number) is less than the denominator (the bottom number). In this case the whole number value is empty and the proper fraction value is 10004/100000.


Can all decimals be converted into a fraction?

Not all decimals can be converted into a fraction. There are 3 basic types which include:

Terminating decimals have a limited number of digits after the decimal point.

Example: 9652.905 = 9652 905/1000

Recurring decimals have one or more repeating numbers after the decimal point which continue on infinitely.

Example: 5988.3333 = 5988 3333/10000 = 333/1000 = 33/100 = 1/3 (rounded)

Irrational decimals go on forever and never form a repeating pattern. This type of decimal cannot be expressed in fraction form.

Example: 0.604469625.....



Fraction into Decimal

You can also see the reverse conversion I.e. how fraction 10004/100000 is converted into a decimal.


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