How do you simplify \[\dfrac{3}{2}\div 3\]?

Hint: This question is from the topic of algebra. In this question, we will solve the given term. In solving this question, we will first understand how the term \[\div \] can be used to solve. After that, we will first solve the term \[\div \] that is in the question. After that, we will solve the further process. After that, we will get our answer. After that, we will see an alternate method to solve this question.

Complete step-by-step answer:
Let us solve this question.
In this question, we have asked to simplify the given term. The given term is \[\dfrac{3}{2}\div 3\].
So, let us first understand the term \[\div \]. This term can be read as divide.
Whenever, we have to use the term \[\div \], then we will remove the term \[\div \] and replace that term with \[\times \] (that is multiplication) and we will write according to the following:
\[x\div y=x\times \dfrac{1}{y}\]
We will remove the term from the numerator and place that term in the denominator.
So, we can write the term \[\dfrac{3}{2}\div 3\] as
\[\dfrac{3}{2}\div 3=\dfrac{3}{2}\times \dfrac{1}{3}\]
Now, we will solve this term to get our answer.
We can see in the term \[\dfrac{3}{2}\times \dfrac{1}{3}\], that there is a term that is 3 in the numerator and there is also the same term that is 3 in the denominator. Then, we can cancel out the terms. So, we can write the term \[\dfrac{3}{2}\times \dfrac{1}{3}\] as
\[\Rightarrow \dfrac{3}{2}\div 3=\dfrac{1}{2}\times \dfrac{1}{1}\]
The above equation can also be written as
\[\Rightarrow \dfrac{3}{2}\div 3=\dfrac{1\times 1}{2\times 1}=\dfrac{1}{2}\]
Now, we have simplified the term \[\dfrac{3}{2}\div 3\]. The simplified value is \[\dfrac{1}{2}\].

Note: We should have a better knowledge in the topic of algebra to solve this type of question easily.
We can solve this question by alternate method.
We can write the term \[\dfrac{3}{2}\div 3\] as
\[\Rightarrow \dfrac{3}{2}\div 3=\dfrac{3}{2}\times \dfrac{1}{3}\]
The above can also be written as
\[\Rightarrow \dfrac{3}{2}\div 3=\dfrac{3\times 1}{2\times 3}\]
We can write the above equation as
\[\Rightarrow \dfrac{3}{2}\div 3=\dfrac{3}{6}\]
Now, if we cancel out the term 3 with 6, then we will get 2 as a denominator. So, we can write the above as
\[\Rightarrow \dfrac{3}{2}\div 3=\dfrac{1}{2}\]
We have got the answer, so we can use this method too.