How do you write $\frac{2}{15}$ as a decimal?
A. $0 . \overline{3}$
B. $0 . \overline{1}$
C. $0.1 \overline{3}$
D. $0.0 \overline{6}$
Answer (1)
Convert the fraction 15 2 to a decimal.
Perform the division: 2 ÷ 15 = 0.1333...
Recognize the repeating decimal: 0.1 3 .
The decimal representation of 15 2 is 0.1 3 .
Explanation
Understanding the Problem We need to convert the fraction 15 2 into a decimal. To do this, we can perform long division or recognize the decimal representation directly.
Performing the Division Dividing 2 by 15, we get 2 ÷ 15 = 0.13333... . This can be written as 0.1 3 , where the 3 repeats indefinitely.
Identifying the Correct Option Comparing our result 0.1 3 with the given options, we find that it matches option 0.1 3 .
Final Answer Therefore, the decimal representation of 15 2 is 0.1 3 .
Examples
Understanding how to convert fractions to decimals is useful in everyday situations, such as when splitting a bill with friends. For example, if a bill is 2 an d yo u w an tt os pl i t i t am o n g 15 p eo pl e , e a c h p erso n w o u l d o w e \frac{2}{15}$ of the bill. Converting this to a decimal, 0.1 3 , allows you to easily understand that each person owes approximately $0.13. This makes it easier to handle cash and calculate the exact amount each person needs to contribute.
