Reduce the Decimal 0.6200 to Its Simplest Fraction Form

Decimal Simplification with Trailing Zeros

Reduce the following fraction:

0.6200 0.6200

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Step-by-step written solution

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1

Understand the problem

Reduce the following fraction:

0.6200 0.6200

2

Step-by-step solution

The fraction 0.6200 0.6200 can be reduced by removing trailing zeros since they do not affect the value. Therefore, it becomes:

0.62 0.62

3

Final Answer

0.62 0.62

Key Points to Remember

Essential concepts to master this topic
  • Rule: Trailing zeros after decimal point don't change value
  • Technique: Remove zeros from right: 0.6200 0.6200 becomes 0.62 0.62
  • Check: Both decimals equal same fraction 62100 \frac{62}{100} when converted ✓

Common Mistakes

Avoid these frequent errors
  • Removing zeros from the wrong position
    Don't remove zeros from the left or middle like 0.6200 → 62 = completely different number! This changes the decimal place value entirely. Always remove only trailing zeros from the rightmost positions after the decimal point.

Practice Quiz

Test your knowledge with interactive questions

Reduce the following fraction:

\( 0.30 \)

FAQ

Everything you need to know about this question

Why can I remove trailing zeros but not other zeros?

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Position matters! Zeros at the end (trailing) don't affect value: 0.62=0.620=0.6200 0.62 = 0.620 = 0.6200 . But zeros elsewhere do: 0.6020.62 0.602 ≠ 0.62 !

How do I know which zeros are 'trailing'?

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Trailing zeros are only the zeros at the very end, after all non-zero digits. In 0.6200 0.6200 , the last two zeros are trailing because they come after the 2.

Does this work the same way for whole numbers?

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No! For whole numbers, trailing zeros matter: 620 ≠ 62. This rule only applies to decimal numbers where zeros come after the decimal point.

What if the decimal is all zeros like 0.000?

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You can simplify 0.000 0.000 to just 0 0 since all trailing zeros after the decimal point can be removed!

Is 0.62 really the 'simplest' form?

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Yes! 0.62 0.62 has no trailing zeros to remove, so it's the simplest decimal form. You could convert to fraction 3150 \frac{31}{50} , but the question asks for decimal simplification.

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