### 0.5120 as a Fraction

##### 0.5120 as a fraction equals 5120/10000 or 64/125

Steps to convert 0.5120 into a fraction.

Write 0.5120 as
0.5120/1

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

0.5120/1
=
0.5120 x 10000/1 x 10000
=
5120/10000

In order to reduce the fraction find the Greatest Common Factor (GCF) for 5120 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.

The factors of 5120 are: 1  2  4  5  8  10  16  20  32  40  64  80  128  160  256  320  512  640  1024  1280  2560  5120
The factors of 10000 are: 1  2  4  5  8  10  16  20  25  40  50  80  100  125  200  250  400  500  625  1000  1250  2000  2500  5000  10000
The Greatest Common Factor (GCF) for both 5120 and 10000 is: 80

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

5120/10000
=
5120 ÷ 80/10000 ÷ 80
=
64/125

As a side note the whole number-integral part is: empty
The decimal part is: .5120 = 5120/10000
Full simple fraction breakdown: 5120/10000
= 512/1000
= 256/500
= 128/250
= 64/125

Scroll down to customize the precision point enabling 0.5120 to be broken down to a specific number of digits.

The page also includes 2-3D graphical representations of 0.5120 as a fraction, the different types of fractions, and what type of fraction 0.5120 is when converted.

##### 0.5120 as a Fraction in Graph Form

Pie chart representation for fraction 5120/10000 ##### Level of Precision for 0.5120 as a Fraction

The level of precision are the number of digits to round to. Select a lower precision point below to break decimal 0.5120 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:

51200/100000
= 5120/10000
= 512/1000
= 256/500
= 128/250
= 64/125

#### Decimal to Fraction Calculator

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##### Numerator & Denominator for 0.5120 as a Fraction

0.5120 = 0 5120/10000
numerator/denominator = 5120/10000

##### Is 5120/10000 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 5120/10000.

##### 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: 5952.3340 = 5952 3340/10000

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

Example: 134.3333 = 134 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: 0.538358724.....

##### Fraction into Decimal

You can also see the reverse conversion I.e. how fraction 5120/10000 is converted into a decimal.

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