Find the decimal equivalent to $\frac{4}{15}$.
A. 0.26
B. $0.2 \overline{6}$
C. 2.6
D. $\overline{0.26}$
Answer (1)
Divide 4 by 15 to find the decimal equivalent.
The result of the division is a repeating decimal: 0.266666... .
Represent the repeating decimal as 0.2 6 .
The decimal equivalent of 15 4 is 0.2 6 .
Explanation
Understanding the Problem We are asked to find the decimal equivalent of the fraction 15 4 . This means we need to perform the division 4 ÷ 15 .
Performing the Division When we divide 4 by 15, we get a repeating decimal. The result of the division is 0.266666... .
Representing the Repeating Decimal We can represent the repeating decimal 0.266666... as 0.2 6 , where the line over the 6 indicates that the 6 repeats infinitely.
Final Answer Therefore, the decimal equivalent of 15 4 is 0.2 6 .
Examples
Understanding fractions and their decimal equivalents is crucial in everyday situations, such as calculating proportions or understanding financial ratios. For instance, if you are splitting a bill of $15 among 4 people, each person would owe 4 15 dollars, which is equal to $3.75. Similarly, if you want to understand what portion of your monthly income is spent on rent, you would calculate the fraction and convert it to a decimal to easily grasp the percentage.
