Question

How do you write $\dfrac{{50}}{3}\% $ as a fraction?

Answer 1

Hint:
The question is to convert the given number which is in percent to the number equivalent which is in fraction. The rule for this type of conversion is that to convert the number in percent to the fraction, we simply divide that number by$100$, and after getting the obtained number in simplest form, we get the required number in fraction.

Complete Step by step Solution:
The question is to convert the given number which is in percentage to the number which is in fraction and is equivalent to this percent.
In the question we have to convert $\dfrac{{50}}{3}\% $ to the fraction.
Since the given number is in percent and we have to convert it to fraction, then the basic rule for this type of conversion (from percentage to fraction) is to divide the given number in percent by $100$ then the number obtained is the fractional equivalent to the given number in percent.
Therefore the conversion of $\dfrac{{50}}{3}\% $ is fractionally divided by $100$.
and we get \[\dfrac{{50}}{3}\% = \dfrac{{50}}{3} \times \dfrac{1}{{100}}\]
On writing the factors of $50$ & $100$ we get
$50 = 5 \times 10$
and \[5 \times 10 \times 2\]
Therefore $\dfrac{{50}}{3} \times \dfrac{1}{{100}}$ becomes $\dfrac{{5 \times 10}}{3} \times \dfrac{1}{{5 \times 10 \times 2}}$
Where $5 \times 10$ is in the numerator as well as in the denominator gets canceled. Hence we are left with $\dfrac{1}{3} \times \dfrac{1}{2}$ which means
 $\dfrac{1}{6}$ because \[\left( {1 \times 1} \right) = 1{\text{ and }}\left( {3 \times 2} \right) = 6\]

Therefore \[\dfrac{{50}}{3}\% = \dfrac{1}{6}\] in fraction.

Note:
The given question we had asked to convert the given number in percent to the fraction, and then the rule for this is to divide the number by$100$. But if we have to convert the fraction or any whole number to percent, then the rule for this is to multiply the number by $100$.