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What is 3/4 as a Decimal?

The fraction 3/4 written as a decimal is: 0.75

Step-by-Step Solution

Step 1: Understand the Fraction

A fraction represents division. The fraction 3/4 means 3 divided by 4.

\[ \frac{3}{4} = 3 \div 4 \]

Step 2: Perform the Division

Now we divide 3 by 4:

\[ \frac{3}{4} = 3 \div 4 = 0.75 \]

This is a terminating decimal.

Final Answer

The fraction 3/4 as a decimal is:

\[ \frac{3}{4} = 0.75 \]

More About Decimal Representation of Fractions

Terminating Decimals

The fraction 3/4 converts to a terminating decimal (0.75). This happens when the denominator's prime factorization only contains 2 and/or 5.

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

\( \frac{1}{2} \) to decimal
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\( \frac{1}{3} \) to decimal
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\( \frac{1}{4} \) to decimal
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\( \frac{1}{5} \) to decimal
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\( \frac{2}{5} \) to decimal
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\( \frac{1}{10} \) to decimal
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