Convert 0.06: Finding Equivalent Forms of this Decimal

Q: How do I know what denominator to use?

Count the decimal places after the decimal point! One place = 10, two places = 100, three places = 1000. Since 0.06 has two decimal places, the denominator is 100.

Q: Why isn't the answer 6/10?

Because $ \frac{6}{10} $ equals 0.6, not 0.06! The zero in the tenths place matters. You need $ \frac{6}{100} $ to get the hundredths place value.

Q: Do I need to simplify the fraction?

It depends on what the problem asks for! $ \frac{6}{100} $ can be simplified to $ \frac{3}{50} $ by dividing both numerator and denominator by 2, but both forms are correct.

Q: What if there are leading zeros in the decimal?

Leading zeros after the decimal point are very important! They tell you the place value. In 0.06, the leading zero shows it's in the hundredths place, not the tenths place.

Decimal to Fraction Conversion with Hundredths

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 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'll write the fraction like this:

$\frac{006}{100}$

We'll then remove the unnecessary zeros as follows:

$\frac{6}{100}$

Final Answer

$\frac{6}{100}$

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Two decimal places means denominator is 100
Technique: Write 0.06 as $\frac{6}{100}$ using numerator 6
Check: Divide 6 ÷ 100 = 0.06 to verify the conversion ✓

Common Mistakes

Avoid these frequent errors

Using wrong denominator based on decimal places
Don't use 10 as denominator for 0.06 = $\frac{6}{10}$ = 0.6! This ignores the second decimal place and gives a completely different value. Always count decimal places: two places means denominator 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 what denominator to use?

Count the decimal places after the decimal point! One place = 10, two places = 100, three places = 1000. Since 0.06 has two decimal places, the denominator is 100.

Why isn't the answer 6/10?

Because $\frac{6}{10}$ equals 0.6, not 0.06! The zero in the tenths place matters. You need $\frac{6}{100}$ to get the hundredths place value.

Do I need to simplify the fraction?

It depends on what the problem asks for! $\frac{6}{100}$ can be simplified to $\frac{3}{50}$ by dividing both numerator and denominator by 2, but both forms are correct.

What if there are leading zeros in the decimal?

Leading zeros after the decimal point are very important! They tell you the place value. In 0.06, the leading zero shows it's in the hundredths place, not the tenths place.

How can I double-check my answer?

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

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