Question

What is $1\dfrac{1}{3}$ as a decimal?

Answer 1

Hint: The given question is in the mixed fraction. But before discussing the mixed fraction first we will discuss fractions. Fractions represent equal parts of a whole or a collection. Now what is the means of fraction of a whole. Fraction of a whole is that when we divide a whole into equal parts, each part is a fraction of the whole. Actually the mixed fraction is a type of fraction. A mixed fraction is a whole number and a proper fraction represents together. Or simply we can say a fraction represented with its quotient and remainder is a mixed fraction.

Complete step by step solution:
Here the given mixed number is:
$\Rightarrow 1\dfrac{1}{3}$
Now here we have written this mixed number into decimal form. In algebra, a decimal number can be defined as a number whose whole number part and fractional part is separated by a decimal point. And the point in the decimal number is called the decimal point.
Now the given mixed fraction number is $1\dfrac{1}{3}$.
Here we can see $\dfrac{1}{3}$ is a fraction which cannot be equally divided, it means the number goes on and on, and it recurs.
As we discussed above in the definition of the decimal, we saw that the fraction part of the question is written after the decimal point. Here the fraction part is $\dfrac{1}{3}$, the decimal form of this fraction part is $\dfrac{1}{3}=0.333...$
Now we can write the decimal form of the $1\dfrac{1}{3}$ as
$\Rightarrow 1\dfrac{1}{3}=1.33....$
Or we can represent the above number by putting bar or small dot on 3, that is
$\Rightarrow 1\dfrac{1}{3}=1.\overset{-}{\mathop{3}}\,=1.\overset{.}{\mathop{3}}\,$
Hence we get the decimal form of the $1\dfrac{1}{3}$ is $1.\overset{\_}{\mathop{3}}\,$.

Note: We can also write the given number $1\dfrac{1}{3}$ into decimal form by using another way.
First we will convert the given mixed fraction into simple fractions and then divide them.
Now the simple form of the given $1\dfrac{1}{3}$ number is:
$\Rightarrow 1\dfrac{1}{3}=\dfrac{4}{3}$
Now we will simply divide them, then we get
$\Rightarrow \dfrac{4}{3}=1.333..$
Hence we get the same decimal number as we solved above.