What is the decimal form of 1/3?
Understand the Problem
The question is asking for the decimal representation of the fraction one-third (1/3). This means we need to divide 1 by 3 to find its decimal form.
Answer
$0.\overline{3}$
Answer for screen readers
The decimal representation of the fraction $\frac{1}{3}$ is $0.\overline{3}$.
Steps to Solve
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Dividing the Numbers To find the decimal representation of the fraction $\frac{1}{3}$, we need to divide 1 by 3.
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Performing the Division When we perform the division of 1 by 3, we get: $$ 1 \div 3 = 0.3333... $$
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Understanding the Repeating Decimal The result $0.3333...$ means that the digit 3 repeats indefinitely. We can represent this as $0.\overline{3}$ to indicate the repeating part.
The decimal representation of the fraction $\frac{1}{3}$ is $0.\overline{3}$.
More Information
The fraction $\frac{1}{3}$ is a common example of a repeating decimal. The decimal $0.3333...$ is often used in mathematics and is commonly rounded to $0.33$ for simplicity in practical applications.
Tips
- Confusing the decimal result with an approximation: Some may incorrectly conclude that $0.33$ is the final answer, forgetting that it is actually a rounded form of $0.\overline{3}$.
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