Which decimal is equivalent to 2/27?
Understand the Problem
The question is asking for the decimal equivalent of the fraction 2/27. To find this, we will divide 2 by 27 to convert the fraction to its decimal form.
Answer
The decimal equivalent of the fraction $\frac{2}{27}$ is $0.\overline{074}$.
Answer for screen readers
The decimal equivalent of the fraction $\frac{2}{27}$ is $0.\overline{074}$.
Steps to Solve
- Division of the Numerator by the Denominator
To find the decimal equivalent, we divide the numerator (2) by the denominator (27).
- Perform the Division
Using long division or a calculator:
$$ 2 \div 27 = 0.074074074... $$
This shows that the division continues with the digits "074" repeating.
- Representing the Decimal
We can express the result in decimal form, indicating that "074" repeats.
So, the decimal equivalent of the fraction $\frac{2}{27}$ can be written as:
$$ 0.\overline{074} $$
The decimal equivalent of the fraction $\frac{2}{27}$ is $0.\overline{074}$.
More Information
The result $0.\overline{074}$ means that the digits "074" repeat indefinitely. This is a common occurrence when converting certain fractions into decimals, and understanding repeating decimals is important in mathematics.
Tips
- Confusing the repeating decimal notation: It's important to correctly indicate that digits repeat. Students sometimes write it incorrectly, omitting the bar notation.
