Question

How do you change $\dfrac{9}{6}$ into a percentage?

Answer 1

Hint: in this we have changed $\dfrac{9}{6}$ into a percentage. For this, we will first simplify the given fraction by considering the numerator and denominator separately and writing their factors. Now we will substitute them in the given fraction and cancel the terms which are common in both numerator and denominator. To convert the given fraction into a percentage. We will multiply $100$ to the given fraction, simplify the equation to get the result.

Complete step by step solution:
Given fraction, $\dfrac{9}{6}$.
Considering the numerator and denominator separately. In the above fraction, we have $9$ as the numerator and $6$ as the denominator. We can write $9$ as $3\times 3$ and $6$ as $2\times 3$. Substituting these values in the given fraction, then we will get
$\Rightarrow$ $\dfrac{9}{6}=\dfrac{3\times 3}{2\times 3}$
Canceling the common term $3$ on both numerator and denominator, then we will get
$\Rightarrow$ $\dfrac{9}{6}=\dfrac{3}{2}$
To convert the given fraction into a percentage, multiplying the above fraction with $100$, then we will get
$\Rightarrow$ $\dfrac{9}{6}=\dfrac{3}{2}\times 100\%$
Simplifying the above equation, then we will get
$\Rightarrow$ $\dfrac{9}{6}=150\%$

Hence the final result is $150\%$.

Note: We can also follow another method to convert the fraction into percentage. We will first convert the given fraction into decimal value and then we will multiply with $100$ to get the result in a percentage.
Given fraction $\dfrac{9}{6}$.
A simplified form of the fraction is $\dfrac{3}{2}$. To convert the fraction into decimal we will multiply and divide the fraction with $5$, then we will get
$\Rightarrow$ $\dfrac{3}{2}=\dfrac{3}{2}\times \dfrac{5}{5}$
Simplifying the above equation, then we will get
$\Rightarrow$ $\dfrac{3}{2}=\dfrac{15}{10}$
Now we will place the decimal point after one digit from the right-hand side, then we will get
$\Rightarrow$ $\dfrac{3}{2}=1.5$
Now multiplying the above decimal value with $100$ to convert it into a percentage, then we will have
$\begin{align}
  & \dfrac{9}{6}=1.5\times 100\% \\
 & \Rightarrow \dfrac{9}{6}=150\% \\
\end{align}$
From both the methods we got the same result.