Question

How do you convert 22% 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 \[22\% \] into fraction,
We need to divide22 by 100 to remove the percent.
 \[ = \dfrac{{22}}{{100}}\]
On simplification we have
 \[ = 0.22 \]
For conversion into fractions , we divide the numerator and denominator by prime factors, therefore we get,
 \[ = \dfrac{{11}}{{50}}\] .
Hence \[22\% \] can be written in fraction as \[\dfrac{{11}}{{50}}\] .
So, the correct answer is “0.22”.

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. Careful in the calculation part while dividing.