Write 0.10020 as

0.10020/1

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

0.10020 x 100000/1 x 100000

= 10020/100000

Further reducing the fraction to its lowest terms results in:

501/5000

Now we find the Greatest Common Factor (GCF) for 10020 and 100000. (Note a factor is just a number that divides into another number without any remainder) The factors of 10020 are: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 501 668 835 1002 1670 2004 2505 3340 5010 10020 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 (GCD) for both 10020 and 100000 is: 20 Now to reduce the fraction we divide both the numerator and denominator by the GCF value.

Note that the whole number-integral part is: empty

The decimal part is: .10020 =

Full simple fraction breakdown: 10020/100000

= 1002/10000

= 501/5000

Scroll down to customize the precision point enabling 0.10020 to be broken down to a specific number of digits. The page also includes 2-3D graphical representations of 0.10020 as a fraction, the different types of fractions, and what type of fraction 0.10020 is when converted.

Pie chart representation of the fractional part of 0.10020

The level of precision are the number of digits to round to. Select a lower precision point below to break decimal 0.10020 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.

10020/100000

= 1002/10000

= 501/5000

= 1002/10000

= 501/5000

0.10020 = 0 ** ^{10020}**/

numerator/denominator =

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

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:
**
8964.8820 = 8964 ^{8820}/_{10000}
**

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

Example:
**
5552.3333 = 5552 ^{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: **0.248982451.....**

You can also see the reverse conversion I.e. how fraction
** ^{10020}**/

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