Reduce the Decimal 0.50 to Simplified Fraction Form

Decimal Simplification with Trailing Zeros

Reduce the following fraction:

0.50 0.50

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Step-by-step written solution

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1

Understand the problem

Reduce the following fraction:

0.50 0.50

2

Step-by-step solution

To reduce the fraction 0.50 0.50 , you need to express it in its simplest form by removing any trailing zeros. The trailing zero in 0.50 0.50 doesn't change the value of the number, as it represents tenths. Without the zero, the number is reduced to 0.5 0.5 , which is the simplest form.

3

Final Answer

0.5 0.5

Key Points to Remember

Essential concepts to master this topic
  • Rule: Trailing zeros after decimal point don't change value
  • Technique: Remove rightmost zeros: 0.500.5 0.50 \rightarrow 0.5
  • Check: Verify both forms equal same value: 0.50=0.5 0.50 = 0.5

Common Mistakes

Avoid these frequent errors
  • Thinking 0.50 and 0.5 are different values
    Don't treat 0.50 0.50 as different from 0.5 0.5 = confusion about place value! Trailing zeros don't add value, they just show precision. Always remember that 0.5=0.50=0.500 0.5 = 0.50 = 0.500 - they're identical numbers.

Practice Quiz

Test your knowledge with interactive questions

Reduce the following fraction:

\( 0.30 \)

FAQ

Everything you need to know about this question

Why is 0.5 the correct answer instead of 0.50?

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Both 0.5 0.5 and 0.50 0.50 represent the same value, but 0.5 0.5 is the simplified form because it removes unnecessary trailing zeros.

What does 'reduce' mean for decimals?

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Reducing a decimal means writing it in its simplest form by removing trailing zeros that don't change the value. It's like simplifying fractions!

When should I keep trailing zeros?

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Keep trailing zeros when they show precision or measurement accuracy. For example, $2.50 in money or 5.00 cm in science. But in pure math problems, remove them for simplest form.

How do I know which zeros to remove?

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Only remove zeros after the decimal point that come at the very end. Never remove zeros between other digits or before the decimal point!

Is this the same as converting to a fraction?

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No! This problem asks to simplify the decimal, not convert it. Converting 0.50 0.50 to a fraction would give 12 \frac{1}{2} , but that's a different task.

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