Write 1/3 as a decimal.
Understand the Problem
The question is asking to convert the fraction 1/3 into its decimal form.
Answer
The decimal form of the fraction $\frac{1}{3}$ is $0.\overline{3}$.
Answer for screen readers
The decimal form of the fraction $\frac{1}{3}$ is $0.\overline{3}$.
Steps to Solve
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Identify the fraction In this case, the fraction is $\frac{1}{3}$.
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Perform the division To convert the fraction into a decimal, divide the numerator by the denominator: $$ 1 \div 3 $$
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Calculating the division When you divide 1 by 3, you can use long division or a calculator. The result is $0.333...$, which is a repeating decimal.
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Represent the repeating decimal You can denote the repeating decimal with a bar over the repeating digit, so it becomes $0.\overline{3}$.
The decimal form of the fraction $\frac{1}{3}$ is $0.\overline{3}$.
More Information
The decimal $0.333...$ is known as a repeating decimal, which means that the digit '3' repeats indefinitely. It's commonly rounded to $0.33$ for simplicity in many calculations, but it should ideally be represented as $0.\overline{3}$, indicating the repetition.
Tips
- A common mistake is to round $0.333...$ to $0.33$ without realizing the ongoing nature of the repeating digit. Always denote repeating decimals properly.
