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What is 5/6 as a Decimal?

The fraction 5/6 written as a decimal is: 0.8333333333

Step-by-Step Solution

Step 1: Understand the Fraction

A fraction represents division. The fraction 5/6 means 5 divided by 6.

\[ \frac{5}{6} = 5 \div 6 \]

Step 2: Perform the Division

Now we divide 5 by 6:

\[ \frac{5}{6} = 5 \div 6 = 0.8333333333 \]

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

Final Answer

The fraction 5/6 as a decimal is:

\[ \frac{5}{6} = 0.833333333\overline{3} \]

More About Decimal Representation of Fractions

Repeating Decimals

When a fraction like 5/6 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 0.8333333333 or \(0.833333333\overline{3}\) 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.

Related Fraction to Decimal Conversions

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\( \frac{3}{4} \) to decimal
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\( \frac{1}{5} \) to decimal
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\( \frac{1}{10} \) to decimal
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