Question

How do you convert $\dfrac{22}{5}$ into a percent and decimal?

Answer 1

Hint: As we know in the given problem we have to convert into decimal as formula as:
$\text{fraction=}\dfrac{\text{numerator}}{\text{denominator}}$
Thus, for percentage $=\dfrac{\text{numerator}}{\text{Denominator}}\times 100$

Complete step-by-step answer:
Here, in the above numerical we have to convert the number into percent to decimal.
First in the equation we are going to convert into decimal.
Thus we convert $\dfrac{25}{5}$ in the form of decimal. Here we have to divide twenty two by five.
Therefore,
Fraction $=$ numerator $\div $ denominator
So, $22\div 5=4.4$
Thus when divided we get decimal value as $3.667.$
Secondary in the question we are going to convert into percent Thus, when we are making percentage of $\Rightarrow$ $\dfrac{22}{5}$ decimal and multiplying it with $100.$
We get,
Therefore,
Twenty two divided by five and whole multiply by $100$ we have
$\Rightarrow$ $\dfrac{22}{5}\times 100=440$
So we get the value as,

Hence when converted $\dfrac{22}{5}$ into percentage is $440%$ decimal as $4.4$

Additional Information:
As we know that we can say that the decimal number is called the fraction with the whole number divided by decimal point.
Here we know that percentage is actually a fraction multiply by $100$ we get,
Thus, we are also taking a general solution of decimal and percentage we get,
Example: $\dfrac{1}{6}$
First we are converting it into decimal; we have one divided by size we get.
$\Rightarrow$ $1\div 6=0.1666$
So when we are taking a percentage of $\dfrac{1}{6}$ it means a fraction into the hundred we get.
$\Rightarrow$ $\dfrac{1}{6}\times 100=16.66%$
Hence we get the value of percentage of $16.66%.$

Note:
When we are going to take a decimal we have to preciouses while dividing and knowing the recurring value if it is greater than five we can round figure by increasing the front value.
Thus when we are making percentage we should have a proper fraction i.e. multiply by $100$.