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How do you write 0.333 as a fraction or mixed number in simplest form?

Last updated date: 20th Jun 2024
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Hint: Here in this question, we have to convert the given number into fraction. The given number is in the form of decimal, to convert the decimal number to the fraction we multiply the given number by the multiples of 10. And then to convert the fraction into mixed numbers we use the division arithmetic operation.

Complete step-by-step solution:
The given number is of the form decimal. Now we have to convert this decimal number to a fraction. If we see the decimal number, after the decimal point there is 3 numbers so we have to multiply and divide the decimal by 1000.
For the conversion of decimal to fraction we multiply and divide the number by 1000 so we have
\[0.333 \times \dfrac{{1000}}{{1000}}\]
By multiplying we get
\[ \Rightarrow \dfrac{{333}}{{1000}}\]
The above fraction in the form of proper fraction.
In fraction we have 3 kinds of fraction
Proper fraction: the numerator value is less than the value of the denominator.
Improper fraction: the numerator value is greater than the value of the denominator.
Mixed fraction: the fraction is a combination of whole number and the fraction term.

The decimal number has converted into the fraction, which is a proper fraction. The proper fraction can’t be converted to the mixed fraction. The numbers which are present in the numerator and the denominator are 333 and 1000. There is no common number to these numbers. Hence it can’t be simplified further.

This can’t be simplified for further. Hence the fraction of 0.33 is \[\dfrac{{333}}{{1000}}\]

Note: The number can be converted from one form to the other form. For the conversion of numbers, we have some rule or method. By using the specific methods and rules we can convert the number. The fraction number has a numerator and denominator. The improper fraction only can convert into mixed fraction.