Convert Decimal 0.02: Finding All Equivalent Forms

Q: How do I know what denominator to use?

Count the decimal places! One place = tenths (denominator 10), two places = hundredths (denominator 100), three places = thousandths (denominator 1000).

Q: Should I simplify 2/100 to 1/50?

Yes! Always simplify fractions to lowest terms when possible. Since 2 and 100 both divide by 2, $ \frac{2}{100} = \frac{1}{50} $.

Q: What if the decimal has more places like 0.025?

Same rule applies! Three decimal places means thousandths, so 0.025 = $ \frac{25}{1000} $. Count the places and use the corresponding power of 10.

Decimal to Fraction with Place Value

Convert into fraction form:

$0.02=$

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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 Add 0 to the fraction

00:09 Place the digits in the numerator, and the appropriate division in the denominator

00:14 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:

$0.02=$

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:

$\frac{002}{100}$

We will then remove the unnecessary zeros as follows:

$\frac{2}{100}$

Final Answer

$\frac{2}{100}$

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Count decimal places to determine denominator
Technique: Two decimal places means divide by 100, so 0.02 = 2/100
Check: Verify by dividing: 2 ÷ 100 = 0.02 ✓

Common Mistakes

Avoid these frequent errors

Using wrong denominator based on decimal places
Don't count the zero after the decimal point as a place = wrong fraction like 1/10! The zero is just a placeholder. Always count only the significant digits: 0.02 has 2 in the hundredths place, so use 100 as denominator.

Practice Quiz

Test your knowledge with interactive questions

Write the following fraction as a decimal:

$\frac{1}{100}=$

FAQ

Everything you need to know about this question

Why is 0.02 equal to 2/100 and not 02/100?

Great question! The leading zero in 02 doesn't add value - it's just a placeholder. We write $\frac{2}{100}$ because 2 and 02 represent the same number.

How do I know what denominator to use?

Count the decimal places! One place = tenths (denominator 10), two places = hundredths (denominator 100), three places = thousandths (denominator 1000).

Should I simplify 2/100 to 1/50?

Yes! Always simplify fractions to lowest terms when possible. Since 2 and 100 both divide by 2, $\frac{2}{100} = \frac{1}{50}$ .

What if the decimal has more places like 0.025?

Same rule applies! Three decimal places means thousandths, so 0.025 = $\frac{25}{1000}$ . Count the places and use the corresponding power of 10.

How can I check if my fraction is correct?

Divide the numerator by the denominator using long division or a calculator. If you get back to your original decimal, you're right!

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