Question

How do you write the fraction \[\dfrac{6}{9}\] in simplest form?

Answer 1

Hint: To convert fraction \[\dfrac{6}{9}\] in simplest form
To convert a fraction into its simplest form we first have to find the HCF of both Numerator as well as the denominator. After that, we have to divide both the numerator as well as the denominator by its HCF. The fraction which appears after division will be in its simplest form.

Complete step by step solution:
First, we will find the HCF of fraction \[\dfrac{6}{9}\].
So, the factor of 6 are \[6 = 2 \times 3 \times 1\]
The factor of 9 are \[9 = 3 \times 3 \times 1\]
So, as we can see that the highest common factor of 6 and 9 is 3.
Now, divide both numerator and denominator by its highest common factor that is
\[\begin{array}{l}
 = \dfrac{{6 \div 3}}{{9 \div 3}}\\
 = \dfrac{2}{3}
\end{array}\]

So, \[\dfrac{2}{3}\] is the simplest form.

Note: HCF, which we are finding must divide the numerator and denominator means no remainder must be present. Also other methods we can write the factors of Numerator and denominator directly and then cut them out to achieve its simple form. While finding the highest common factor one must also consider one because many times one of their factors will match in that case we will consider 1 as its highest common factor.