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# How do you simplify $\dfrac{6}{18}$ ?

Last updated date: 12th Sep 2024
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Hint:
We first try to describe the relationship between the denominator and the numerator to find the simplified form. We use the G.C.D of the denominator and the numerator to divide both of them. We get the simplified form when the G.C.D is 1.

We need to find the simplified form of the proper fraction $\dfrac{6}{18}$.
For any fraction $\dfrac{p}{q}$ , we first find the G.C.D of the denominator and the numerator. If it’s 1 then it’s already in its simplified form and if the G.C.D of the denominator and the numerator is any other number d then we need to divide the denominator and the numerator with d and get the simplified fraction form as $\dfrac{{}^{p}/{}_{d}}{{}^{q}/{}_{d}}$.
For our give fraction $\dfrac{6}{18}$, the G.C.D of the denominator and the numerator is 6.
\begin{align} & 2\left| \!{\underline {\, 6,18 \,}} \right. \\ & 3\left| \!{\underline {\, 3,9 \,}} \right. \\ & 1\left| \!{\underline {\, 1,3 \,}} \right. \\ \end{align}
Now we divide both the denominator and the numerator with 6 and get $\dfrac{{}^{6}/{}_{6}}{{}^{18}/{}_{6}}=\dfrac{1}{3}$ .
Therefore, the simplified form of $\dfrac{6}{18}$ is $\dfrac{1}{3}$ .