Converting 0.06: Find All Equivalent Forms of This Decimal

Q: How do I know if the denominator should be 10, 100, or 1000?

Count the decimal places after the decimal point! One place = 10, two places = 100, three places = 1000. For 0.06, there are two places, so use 100.

Q: Why can't I just write 6/10 for 0.06?

Because $ \frac{6}{10} $ equals 0.6, not 0.06! The position of the digits matters. The 6 is in the hundredths place, so it must be $ \frac{6}{100} $.

Q: Do I need to simplify the fraction?

The question asks for fraction form, and $ \frac{6}{100} $ is correct! You could simplify to $ \frac{3}{50} $, but both forms are valid fractions.

Q: How can I double-check my answer?

Divide the numerator by the denominator: 6 ÷ 100 = 0.06. If you get back to your original decimal, you're correct!

Decimal to Fraction Conversion with Place Values

Convert into fraction form:

$0.06=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert to decimal fraction

00:03 Match between the position of digits after the decimal point to the appropriate division

00:06 Place the digits in the numerator, and the appropriate division in the denominator

00:11 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert into fraction form:

$0.06=$

Step-by-step solution

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

We will write the fraction in the following way:

$\frac{006}{100}$

We will then proceed to remove the unnecessary zeros and obtain the following:

$\frac{6}{100}$

Final Answer

$\frac{6}{100}$

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Count decimal places to determine the denominator power
Technique: Two decimal places means divide by 100, so 0.06 = 6/100
Check: Verify by dividing: 6 ÷ 100 = 0.06 ✓

Common Mistakes

Avoid these frequent errors

Using wrong denominator based on digit count
Don't count digits and use 10 as denominator = $\frac{6}{10}$ = 0.6! This gives a completely different decimal value. Always use the place value: two decimal places means denominator is 100.

Practice Quiz

Test your knowledge with interactive questions

Write the following fraction as a decimal:

$\frac{5}{100}=$

FAQ

Everything you need to know about this question

How do I know if the denominator should be 10, 100, or 1000?

Count the decimal places after the decimal point! One place = 10, two places = 100, three places = 1000. For 0.06, there are two places, so use 100.

Why can't I just write 6/10 for 0.06?

Because $\frac{6}{10}$ equals 0.6, not 0.06! The position of the digits matters. The 6 is in the hundredths place, so it must be $\frac{6}{100}$ .

What if there are leading zeros in the decimal?

Leading zeros don't count toward place value! For 0.06, you still have two decimal places (the 0 and the 6), so the denominator is 100.

Do I need to simplify the fraction?

The question asks for fraction form, and $\frac{6}{100}$ is correct! You could simplify to $\frac{3}{50}$ , but both forms are valid fractions.

How can I double-check my answer?

Divide the numerator by the denominator: 6 ÷ 100 = 0.06. If you get back to your original decimal, you're correct!

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