0.10142 as a Fraction

0.10142 as a fraction equals 10142/100000 or 5071/50000
Steps to convert 0.10142 into a fraction:
Write 0.10142 as  
0.10142/1

Multiply both the numerator and denominator by 10 for each digit after the decimal point:
0.10142/1
  =  
0.10142 x 100000/1 x 100000
  =  
10142/100000


In order to reduce the fraction we find the Greatest Common Factor (GCF) for 10142 and 100000. A factor is just a number that divides into another number without any remainder.
The factors of 10142 are: 1  2  11  22  461  922  5071  10142 
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 10142 and 100000 is: 2
Now to reduce the fraction we divide both the numerator and denominator by the GCF value.
10142/100000
  =  
10142 ÷ 2/100000 ÷ 2
  =  
5071/50000


As a side note the whole number-integral part is: empty
The decimal part is: .10142 = 10142/100000
Full simple fraction breakdown: 10142/100000
= 5071/50000

Scroll down to customize the precision point enabling 0.10142 to be broken down to a specific number of digits. The page also includes 2-3D graphical representations of 0.10142 as a fraction, the different types of fractions, and what type of fraction 0.10142 is when converted.


Graph Representation of 0.10142 as a Fraction

Pie chart representation of the fractional part of 0.10142


Level of Precision for 0.10142 as a Fraction

The level of precision are the number of digits to round to. Select a lower precision point below to break decimal 0.10142 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:


10142/100000
= 5071/50000

Decimal to Fraction Converter

Enter a Decimal Value:


Numerator & Denominator for 0.10142 as a Fraction

0.10142 = 0 10142/100000
numerator/denominator = 10142/100000


Is 10142/100000 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 10142/100000.


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: 1184.4056 = 1184 4056/10000

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

Example: 9452.3333 = 9452 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 as a fraction.

Example: 0.964800891.....



Fraction into Decimal

You can also see the reverse conversion I.e. how fraction 10142/100000 is converted into a decimal.


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Three Decimal Points to Fraction Conversions


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