Question

How do you write the fraction \[\dfrac{3}{6}\] into simplest form?

Answer 1

Hint:When we want to simplify the fraction we will just divide the numerator and denominator by their common factor this will keep the fraction the same and the new fraction formed termed as its equivalent fraction.

Complete step by step solution:
Since the given fraction value is \[\dfrac{3}{6}\]
To simplify this, we will divide both numerator and denominator by their common factor
As we see \[3\] and \[6\] both have only one common factor and that is \[3\]
Now dividing both by \[3\]
\[\Rightarrow \dfrac{3\div 3}{6\div 3}\]
This can be written as
\[\Rightarrow \dfrac{{}^{3}/{}_{3}}{{}^{6}/{}_{3}}\]
On dividing \[3\] by \[3\] we will get \[1\] and dividing \[6\] by \[3\] we get \[2\]
\[\Rightarrow \dfrac{1}{2}\].
Thus in the numerator, we have \[1\] and in the denominator, we have \[2\] as a denominator.

Hence on simplifying the given fraction we get \[\dfrac{1}{2}\].

Note: To simplify the fraction, just divide the numerator and denominator with their common factor as on dividing in both this makes the fraction same otherwise it will differ. This means the operation multiplication or division must be performed in a numerator and denominator with the same number.