Reduce the Decimal 0.2040 to Its Simplest Fraction Form

Decimal Simplification with Trailing Zeros

Reduce the following fraction:

0.2040 0.2040

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Reduce the following fraction:

0.2040 0.2040

2

Step-by-step solution

To reduce 0.2040 0.2040 , remove any trailing zeroes in the decimal. Therefore, 0.2040 0.2040 simplifies to 0.204 0.204 .

3

Final Answer

0.204 0.204

Key Points to Remember

Essential concepts to master this topic
  • Rule: Remove trailing zeros after the decimal point
  • Technique: 0.2040 0.2040 becomes 0.204 0.204 by dropping the final zero
  • Check: Both forms have the same value: 0.204=0.2040 0.204 = 0.2040

Common Mistakes

Avoid these frequent errors
  • Removing zeros from the middle of a decimal
    Don't remove zeros between digits like changing 0.2040 to 0.24 = wrong value! This changes the decimal's value completely. Always only remove trailing zeros at the end after the last non-zero digit.

Practice Quiz

Test your knowledge with interactive questions

Reduce the following fraction:

\( 0.30 \)

FAQ

Everything you need to know about this question

What exactly are trailing zeros?

+

Trailing zeros are zeros that come after the last non-zero digit in a decimal. In 0.2040 0.2040 , the final zero is trailing because it's after the 4.

Why can I remove trailing zeros but not other zeros?

+

Trailing zeros don't change the decimal's value - they're just placeholder zeros. But zeros between digits (like the zero between 2 and 4) are significant and show the actual place value!

Is 0.204 the same as 0.2040?

+

Yes! Both decimals have exactly the same value. The trailing zero in 0.2040 doesn't add any mathematical meaning - it's just extra notation.

How do I know which zeros to remove?

+

Only remove zeros at the very end of the decimal. Start from the right and work left - stop as soon as you hit a non-zero digit!

What if all the digits after the decimal are zeros?

+

If you have something like 3.000 3.000 , you can remove all trailing zeros to get 3 3 or write it as 3.0 3.0 - both are correct!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Decimal Fractions - Basic questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations