Question

How do you convert \[\dfrac{1}{{12}}\] into a decimal and percent?

Answer 1

Hint: In this question we convert a fraction form into a decimal number and after that calculate the percentage. To convert a fraction number into a decimal, the numerator is divided by the denominator of a fraction form.

Complete step by step answer:
In this question, we have a fraction form. First, we know about fraction form. Fraction form is defined as the form which has the value in the numerator and the value in the denominator. And then come to the decimal number, the decimal number is defined as the number which has the whole number part and fraction part. And the whole number part and fraction part is separated by a decimal point. The decimal point in the decimal number is denoted by the dot.
Now come to the question, in the question a fraction number is given, which is converted into decimal number after that convert into percent form.
The fraction number is \[ = \dfrac{1}{{12}}\]
In the fraction number, we divide the numerator with denominator to convert it into a decimal number,
Then, by calculating we have.
\[ = .0833\]
The number \[\dfrac{1}{{12}}\] is written as the decimal form \[ = .0833\]
Now, the decimal number is converting into percent. For converting into percent from a decimal number, we multiply and divide with the number hundred in the decimal number,
Then,
\[ = 0.833 \times \dfrac{{100}}{{100}}\]
Then we solve the above expression.
\[ = \dfrac{{8.33}}{{100}}\]
It is written as below.
\[ = 8.33\% \]

Therefore, the percentage form of a decimal number \[.0833\] is \[8.33\% \].

Note: For converting a fraction number into a decimal number, we have to divide the numerator with the denominator. And for converting the decimal number into percentage form, we have to multiply and divide with the number \[\left( {100} \right)\].