Question

How do you write \[65\% \] as a fraction and a decimal?

Answer 1

Hint:
In the given question, we have been given a percent number. We have to then convert the percent number into its fraction form as well as the decimal form. First, we are going to convert it to fraction form. This can be done by dividing the given number by \[100\]. Then we are going to convert the number to its lowest term. That is going to give us the required fraction. To convert to decimal, we just count two numbers from the left and put the dot to the right of the third number or to the left of the second number. This gives us the decimal form.

Complete step by step solution:
The given percent number is \[65\% \].
First, we convert the number to fraction by dividing by \[100\],
\[fraction = \dfrac{{65}}{{100}} = \dfrac{{13}}{{20}}\]
Hence, \[65\% = \dfrac{{13}}{{20}}\]
Then, to convert to decimal, we just count two numbers from right and put the dot,
\[decimal = .65 = 0.65\]

Hence, \[65\% = 0.65\]

Note:
In the given question, we were given a percent number. We had to convert the given percent number to fraction and decimal. The way to calculate both of these quantities is different. For converting from percent to fraction, we remove the percent sign, take the number as the numerator and take the denominator as hundred. Then we simplify the fraction to its lowest term to get the answer. Then, for converting the percent number to decimal, we again remove the percent sign, count two numbers from the right and drop a dot. And that gives us the answer.