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# How do you convert $\dfrac{2}{3}$ into decimal and percentage

Last updated date: 15th Jun 2024
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Hint: Here in this question, we have to convert the given number into decimal and percentage. The given number is in the form of fraction, to convert the fraction number to the decimal we divide the given number by the number which is in the denominator. And then to convert the fraction into percentage we multiply the given fraction into 100.

Complete step-by-step solution:
The given number is in the form of fraction. it contains the numerator and as well as the denominator. To convert the fraction into the decimal number we divide the numerator by denominator. So here we divide 2 by 3.

Hence, we have converted the fraction into decimal and obtained the answer.

So, the decimal form of $\dfrac{2}{3}$ is 0.6666. Now we have to convert the fraction into percentage. To convert the fraction into percentage we multiply the fraction into 100 and then simplify.
$\dfrac{2}{3} \times 100\%$
On simplifying we have
$\Rightarrow \dfrac{{200}}{3}\%$
So dividing the number 200 by 3 we have

Hence we have converted the fraction into percentage and obtained answer
So, the percentage of $\dfrac{2}{3}$ is 66.66 %.

Note: The number can be converted from one form to the other form. For the conversion of numbers, we have some rule or method. By using the specific methods and rules we can convert the number. The fraction number has a numerator and denominator. The percentage is represented by the symbol $%$. The decimal number will have the decimal point.