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What is 1/3 as a Decimal?

The fraction 1/3 written as a decimal is: 0.3333333333

Step-by-Step Solution

Step 1: Understand the Fraction

A fraction represents division. The fraction 1/3 means 1 divided by 3.

\[ \frac{1}{3} = 1 \div 3 \]

Step 2: Perform the Division

Now we divide 1 by 3:

\[ \frac{1}{3} = 1 \div 3 = 0.3333333333 \]

This is a repeating decimal where the digit(s) 3 repeat indefinitely.

Final Answer

The fraction 1/3 as a decimal is:

\[ \frac{1}{3} = 0.333333333\overline{3} \]

More About Decimal Representation of Fractions

Repeating Decimals

When a fraction like 1/3 cannot be expressed as a terminating decimal, it results in a repeating decimal. The decimal expansion will repeat the same sequence of digits infinitely.

The notation 0.3333333333 or \(0.333333333\overline{3}\) indicates that the digits 3 repeat forever.

Converting Between Fractions and Decimals

Fractions and decimals are different ways to represent the same value. Converting between them helps in different mathematical operations and real-world applications.

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