How do you write $\frac{1}{9}$ as a decimal?
A. $0.1 \overline{6}$
B. $0.0 \overline{6}$
C. $0 . \overline{3}$
D. $0 . \overline{1}$
Answer (1)
Convert the fraction 9 1 to a decimal.
Perform the division 1 ÷ 9 to obtain the decimal representation.
Recognize that the result is a repeating decimal 0.1111... , which can be written as 0. 1 .
The decimal representation of 9 1 is 0. 1 .
Explanation
Problem Analysis We are asked to convert the fraction 9 1 into a decimal. We need to determine which of the given options is the correct decimal representation of 9 1 .
Conversion Method To convert a fraction to a decimal, we can perform long division. In this case, we divide 1 by 9. Alternatively, we can recognize that 9 1 is a repeating decimal.
Performing the Division When we divide 1 by 9, we get 0.1111... , which is a repeating decimal. This can be written as 0. 1 .
Result Therefore, the decimal representation of 9 1 is 0. 1 .
Final Answer The correct answer is 0. 1 .
Examples
Understanding how fractions relate to decimals is useful in many everyday situations. For example, if you are sharing a pizza with 9 slices equally among friends, each person gets 9 1 of the pizza. Knowing that 9 1 is approximately 0.1111 as a decimal helps you visualize and understand the portion each person receives. This applies to various scenarios like dividing costs, measuring ingredients, or understanding percentages.
