Question

How do you write $2\dfrac{4}{5}$ as a decimal?

Answer 1

Hint: Here we need to convert the given mixed fraction into the decimal. The mixed fraction contains the whole number part and the fractional part. To convert the given mixed fraction into the decimal number, we will first convert the fractional part into the decimal number. Then we will add the obtained decimal number to the whole number part. The number which we will obtain after addition will be the required decimal form of the given mixed fraction.

Complete step by step solution:
Here we need to convert the given mixed fraction into the decimal. The given mixed fraction is $2\dfrac{4}{5}$.
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 fraction into the decimal number, we will first convert the fractional part into the decimal number.
Therefore,
$ \Rightarrow \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 \\
   2\dfrac{4}{5}= 2.8 \\ $

Hence, the required decimal form of the given mixed fraction is equal to 2.8.

Note:
Here the 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. 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 lowers 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.