Convert 0.089 to Fraction Form: Decimal Transformation Exercise

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 0.089 has three decimal places, use 1000 as your denominator.

Q: Why do I remove the leading zeros from 0089?

Leading zeros don't change a number's value. $ \frac{0089}{1000} $ is exactly the same as $ \frac{89}{1000} $, but the second form is simplified and easier to work with.

Q: What if I accidentally wrote 89/100 instead?

That's a common mistake! $ \frac{89}{100} = 0.89 $, which is different from 0.089. Always double-check by converting your fraction back to a decimal.

Q: How can I remember the decimal place pattern?

0.1 = one place = $ \frac{1}{10} $0.01 = two places = $ \frac{1}{100} $0.001 = three places = $ \frac{1}{1000} $Each additional zero adds another decimal place!

Decimal to Fraction with Three Decimal Places

Convert into fraction form:

$0.089=$

❤️ Continue Your Math Journey!

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

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert to fraction

00:03 First, we'll match the digit positions to the appropriate division

00:10 We'll place the number in the numerator, and the last digit position in the denominator

00:17 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:

$0.089=$

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 three numbers after the zero, so the number is divided by 1000

Let's write the fraction in the following way:

$\frac{0089}{1000}$

We'll then proceed to remove the unnecessary zeros as follows:

$\frac{89}{1000}$

Final Answer

$\frac{89}{1000}$

Key Points to Remember

Essential concepts to master this topic

Decimal Place Rule: Three decimal places means denominator of 1000
Technique: Write 0.089 as 89/1000, dropping leading zeros
Check: Divide 89 ÷ 1000 = 0.089 to verify conversion ✓

Common Mistakes

Avoid these frequent errors

Using wrong denominator based on decimal places
Don't use 100 as denominator for 0.089 = 89/100 = 0.89! This ignores the third decimal place. The decimal 0.089 has three places after the decimal point, so always use 1000 as the denominator.

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 0.089 has three decimal places, use 1000 as your denominator.

Why do I remove the leading zeros from 0089?

Leading zeros don't change a number's value. $\frac{0089}{1000}$ is exactly the same as $\frac{89}{1000}$ , but the second form is simplified and easier to work with.

Do I need to simplify 89/1000 further?

Check if 89 and 1000 share any common factors. Since 89 is prime and doesn't divide 1000, $\frac{89}{1000}$ is already in simplest form!

What if I accidentally wrote 89/100 instead?

That's a common mistake! $\frac{89}{100} = 0.89$ , which is different from 0.089. Always double-check by converting your fraction back to a decimal.

How can I remember the decimal place pattern?

0.1 = one place = $\frac{1}{10}$
0.01 = two places = $\frac{1}{100}$
0.001 = three places = $\frac{1}{1000}$

Each additional zero adds another decimal place!

🌟 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