Question

How do I convert a mixed number into a decimal?

Answer 1

Hint: Here we will explain the concept of mixed fractions using an example. We will then convert the mixed number into decimal using the required steps. A decimal number is defined as the number whose fractional part and the whole number part are separated by a dot which is known as the decimal point.

Complete step by step solution:
Here we need to explain the method to convert the mixed number into decimal.
Let us take the mixed number to be \[2\dfrac{4}{5}\].
The mixed fraction contains the whole number part and the fractional part. Here we have the whole number part as 2 and the fractional part is \[\dfrac{4}{5}\].
To convert the given mixed number into the decimal number, we will first convert the fractional part into the decimal number.
Therefore,
\[\dfrac{4}{5} = 0.8\]
Now, we will add the obtained decimal number to the whole number part i.e. we will add 0.8 to the whole number 2.
On adding the number 0.8 to 2, we get
\[2\dfrac{4}{5} = 2 + 0.8\]
Adding the like terms, we get
\[ \Rightarrow 2\dfrac{4}{5} = 2.8\]

Hence, the required decimal form of the assumed mixed number is equal to \[2.8\].

Note:
There are three main types of fractions i.e. proper fractions, improper fractions, and mixed fractions. A proper fraction is a fraction having the numerator less or lower in degree, than the denominator. The value of proper fraction after simplification is always less than 1. An improper fraction is a fraction where the numerator is greater than or equals to the denominator, then it is known as an improper fraction. A mixed Fraction is the combination of a natural number and fraction.