Scroll down to customize the precision point enabling 0.406 to be broken down to a specific number of digits. The page also includes 2-3D graphical representations of 0.406 as a fraction, the different types of fractions, and what type of fraction 0.406 is when converted.
The level of precision are the number of digits to round to. Select a lower precision point below to break decimal 0.406 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.
Pie chart representation of the fractional part of 0.406
0.406 = 0 406/1000
numerator/denominator = 406/1000
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 406/1000.
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.
8503.11 = 8503 11/100
Recurring decimals have one or more repeating numbers after the decimal point which continue on infinitely.
Example: 9310.3333 = 9310 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.
You can also see the reverse conversion I.e. how fraction 406/1000 is converted into a decimal.