Question

How do you write $4.02$ as a mixed number?

Answer 1

Hint: To solve these questions which involve improper and mixed fractions, first write the decimal part in the form of a fraction, and then convert the improper fraction into a mixed fraction by writing a whole number and a proper fraction.

Complete step by step solution:
Given the number: $4.02\;$
To convert the given number into a mixed number we will have to write the decimal part of the given number in the fraction part.
Now, to convert the decimal number to a fraction, we will place the decimal number over a power of ten. The decimal number is $.02\;$
Since, there are two numbers to the right of the decimal point in this specific decimal number, therefore we will place the decimal number over ${{10}^{2}}$ or $100\;$
By doing so we get,
$\Rightarrow .02=\dfrac{2}{100}$
On further simplifying the above fraction by cancelling the numerator and denominator by a common factor, that is, $2$ we get,
$\Rightarrow \dfrac{2}{100}=\dfrac{1}{50}$
Now, the whole number in the decimal number was already given as $4$ . Now, to write the given decimal number as a mixed number, we will write the whole number with the fractional part, to get,
$\Rightarrow 4.02=4\dfrac{1}{50}$

Therefore, on writing $4.02\;$ as a mixed number we get the mixed fraction $4\dfrac{1}{50}$.

Note: A fraction can be used to describe a number of parts of a whole thing. It consists of two parts that are known as the numerator and the denominator and are separated by a line. The numerator is written above the line while the denominator is written below the line.
A mixed fraction can be said to be a combination of a whole number and a proper fraction.