Convert 0.901 to Fraction Form: Decimal Transformation Exercise

Q: How do I know what denominator to use?

Count the number of digits after the decimal point. In 0.901, there are 3 digits after the decimal, so use 1000 (which is 10³). One digit uses 10, two digits use 100, three digits use 1000, and so on.

Q: Should I simplify the fraction?

Always check if you can simplify! For $ \frac{901}{1000} $, find the GCD of 901 and 1000. Since 901 and 1000 share no common factors other than 1, this fraction is already in simplest form.

Q: What's the difference between 0.901 and 0.91?

These are different numbers! 0.901 = $ \frac{901}{1000} $ while 0.91 = $ \frac{91}{100} $. The extra zero in 0.901 shows it's closer to 1 than 0.91 is.

Decimal-to-Fraction Conversion with Three Decimal Places

Convert into fraction form:

$0.901=$

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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

00:09 We'll place the number in the numerator, and the last digit position in the denominator

00:20 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:

$0.901=$

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:

$\frac{0901}{1000}$

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

$\frac{901}{1000}$

Final Answer

$\frac{901}{1000}$

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Three decimal places means denominator is 1000
Technique: Write 0.901 as $\frac{901}{1000}$ directly
Check: Divide 901 ÷ 1000 = 0.901 confirms correct conversion ✓

Common Mistakes

Avoid these frequent errors

Using wrong denominator based on decimal places
Don't count decimal places incorrectly and use 100 instead of 1000 = $\frac{901}{100}$ = 9.01! This completely changes the value because you're not matching the place value positions. Always use 10 raised to the number of decimal places as 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 number of digits after the decimal point. In 0.901, there are 3 digits after the decimal, so use 1000 (which is 10³). One digit uses 10, two digits use 100, three digits use 1000, and so on.

Should I simplify the fraction?

Always check if you can simplify! For $\frac{901}{1000}$ , find the GCD of 901 and 1000. Since 901 and 1000 share no common factors other than 1, this fraction is already in simplest form.

What if there are zeros in the decimal?

Keep all digits in the numerator, including zeros! For 0.901, the numerator is 901 (not 91). The zeros matter because they show the exact position of each digit in the decimal.

Can I remove the zero at the beginning of 0901?

Yes! Leading zeros in the numerator don't change the value. $\frac{0901}{1000}$ equals $\frac{901}{1000}$ . But never remove zeros between other digits!

How can I double-check my answer?

Divide the numerator by the denominator: 901 ÷ 1000 = 0.901. If this matches your original decimal, you've converted correctly! You can also use a calculator to verify.

What's the difference between 0.901 and 0.91?

These are different numbers! 0.901 = $\frac{901}{1000}$ while 0.91 = $\frac{91}{100}$ . The extra zero in 0.901 shows it's closer to 1 than 0.91 is.

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