Decimal Fraction Reduction: Transform 0.5 into Simplest Form

Decimal Recognition with Simplest Form

Reduce the following fraction:

0.5 0.5

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Reduce the following fraction:

0.5 0.5

2

Step-by-step solution

To reduce 0.5 0.5 , recognize that it's already in its simplest form as a decimal fraction.

When expressed as a fraction of 1, 0.5 0.5 is equivalent to 12 \frac{1}{2} , which means 0.5 0.5 is simplified.

3

Final Answer

0.5 0.5

Key Points to Remember

Essential concepts to master this topic
  • Rule: Decimals in simplest form cannot be reduced further
  • Technique: Convert 0.5 to fraction 12 \frac{1}{2} to verify it's already simplified
  • Check: Confirm 0.5=12 0.5 = \frac{1}{2} has no common factors to cancel ✓

Common Mistakes

Avoid these frequent errors
  • Trying to reduce decimals that are already simplified
    Don't convert 0.5 to 0.05 or multiply/divide randomly = wrong decimal value! This creates confusion between place values and actual reduction. Always recognize when a decimal like 0.5 is already in its simplest form.

Practice Quiz

Test your knowledge with interactive questions

Reduce the following fraction:

\( 0.30 \)

FAQ

Everything you need to know about this question

How do I know if a decimal is already in simplest form?

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A decimal is in simplest form when its equivalent fraction cannot be reduced further. For example, 0.5=12 0.5 = \frac{1}{2} is already simplified because 1 and 2 share no common factors.

Should I convert 0.5 to a fraction to reduce it?

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You can convert it to check, but it's not necessary! 0.5=12 0.5 = \frac{1}{2} shows it's already simplified. The decimal 0.5 itself is the simplest form.

What's the difference between reducing fractions and decimals?

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When reducing fractions, you cancel common factors from numerator and denominator. For decimals, you simply recognize if they're already in simplest form - no canceling needed!

Can all decimals be reduced?

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No! Many decimals like 0.5 0.5 , 0.25 0.25 , and 0.1 0.1 are already in their simplest form. Only decimals equivalent to reducible fractions need simplification.

Why isn't the answer 5 or 0.05?

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Those change the actual value! The question asks to reduce 0.5 0.5 , not change it. Since 0.5 0.5 is already simplified, it stays 0.5 0.5 .

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