Question

How do you convert $64\% $ to a decimal?

Answer 1

Hint:We use the concept of the percentage to find the proportion of the amount of a substance to a larger sum of substance. The percentage is represented by the symbol "$\% $". In mathematics, when a number or ratio is expressed as a fraction of $100$, we get the percentage. In everyday life, the percentage is most important in financial aspects. By dividing the given percentage by $100$, the percentage is converted into fraction form or decimal form, like $1\% $ in fraction form is $\dfrac{1}{{100}}$ and in decimal form is $0.01$. We are given a percentage in this question and we have to express it as a ratio so by following the above steps, we can get the correct answer.

Complete step by step answer:
We have to convert $64\% $ into fraction,
We need to divide $64$ by $100$ to remove the percent.
So, we have, $\dfrac{{64}}{{100}}$
On simplification, we have,
$ \Rightarrow \dfrac{{16}}{{25}}$

Hence $64\% $ can be written in fraction as $\dfrac{{16}}{{25}}$.

Note: To remove the percent of a number we divide that number by $100$. To convert the given number into percent we multiply that number by $100$. We need to know the formula for percentage increase and percentage decrease. We can find Percentage increase by multiplying 100 to the ratio of profit value to original value. We can find percentage decrease by multiplying 100 to the ratio of loss value to original value. Be careful in the calculation part while dividing.