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Write the following decimal number as fraction in lowest form.
0.04

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Last updated date: 27th Mar 2024
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MVSAT 2024
Answer
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Hint:- We had to only divide and multiply the given number by \[{10^x}\] where x will be such that the decimal is removed from the number and then on simplifying that fractional number we will get the required answer.

Complete step-by-step answer:
Decimal numbers are those numbers in which point occurs in between the digits. Like 1.002, 3.987 etc.
Fractional numbers are those numbers which can be written in the form of \[\dfrac{p}{q}\] where p will be the numerator of the number and q will be the denominator of the number. Like \[\dfrac{3}{2}\], \[\dfrac{5}{9}\] etc.
Now integers are positive and negative numbers. They are also types of fractional numbers with denominators equal to 1.
So, now we had to change the given number into a fractional number and simplify it to the lowest form.
So, for changing numbers from decimal to fraction. We had to divide and multiply the given number by \[{10^x}\] where x should be a whole number and the value of x is taken such that on multiplying the number by \[{10^x}\] decimal point should be removed.
So, multiplying and dividing 0.04 by \[{10^2}\] (i.e. 100).
\[ \Rightarrow 0.04 \times \dfrac{{100}}{{100}} = \dfrac{4}{{100}}\]
Now we had to simplify \[\dfrac{4}{{100}}\] to get the lowest form.
Lowest form means that further dividing the numerator by denominator will give us the decimal number.
So, dividing numerator and denominator of \[\dfrac{4}{{100}}\] by 2 to simplify that,
\[ \Rightarrow \dfrac{2}{{50}}\]
Again dividing the numerator and denominator of above fraction by 2.
\[ \Rightarrow \dfrac{1}{{25}}\]
Hence, 0.04 in lowest fraction form will be equal to \[\dfrac{1}{{25}}\].

Note:- Whenever we come up with this type of problem then there is also a direct method to change the decimal number into fraction. So, for that we had to simply divide the number by \[{10^x}\], where x will be the number of digits on the right side of the decimal point and then remove the decimal from the numerator. And for reducing the fractional number to lowest form we had to divide the numerator and denominator by all the common factors they have. This will be the easiest and efficient way to find the solution of the problem.