How do you write $\frac{5}{18}$ as a decimal?
A. $0.3 \overline{8}$
B. $0 . \overline{2}$
C. $0 . \overline{72}$
D. $0.2 \overline{7}$
Answer (2)
Convert the fraction 18 5 to a decimal using long division.
Perform the division to find the repeating decimal pattern.
Identify the repeating digit and write the decimal representation as 0.2 7 .
The decimal representation of 18 5 is 0.2 7 .
Explanation
Understanding the Problem We need to convert the fraction 18 5 into a decimal. To do this, we will perform long division.
Performing the Division When we divide 5 by 18, we get 0.2777... The digit 7 repeats indefinitely.
Identifying the Repeating Decimal Therefore, the decimal representation of 18 5 is 0.2 7 .
Selecting the Correct Option Comparing this result with the given options, we find that the correct answer is 0.2 7 .
Examples
Understanding how to convert fractions to decimals is useful in everyday situations, such as when calculating proportions or dealing with measurements. For example, if you want to divide a pizza into 18 slices and you take 5 of those slices, you have 18 5 of the pizza. Converting this to a decimal, 0.2 7 , helps you understand that you have approximately 27.7% of the pizza. This kind of conversion is also helpful in cooking, construction, and many other fields where precise measurements are needed.
To convert 18 5 to a decimal, we perform long division, which reveals that it equals 0.2 7 . Thus, the correct answer is D .0.2 7 .
;
