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What is 0.001 as a fraction? How to convert it?

What is 0.001 as a fraction? How to convert 0.001 into a fraction? Through the decimal to fraction calculator, we can get the answer of 0.001 to a fraction is 11000. Here are two ways to change 0.001 into a fraction.

Decimal to fraction calculator

Eg, convert 0.513 to fraction. The trailing decimal place to repeat is 13 and its length is 2. So, enter 0.513 into the first input box and enter 2 into the second input box.

Calculate Reset

Method 1: Convert 0.001 into a fraction in conventional steps.

Through the decimal to fraction calculator page, we know that there are four steps to convert decimals into fractions:

  • 1Convert the decimal to an integer equation.
  • 2Convert integer equations into a fraction.
  • 3Find the greatest common divisor of the numerator and denominator in the fraction.
  • 4Simplify the fraction and complete the conversion.

So, following these 4 steps, we will complete it step by step.

Step 1. Convert the decimal to an integer equation.

0.001 contains 3 decimal places, so it can be converted to an integer by multiplying by 1000.

0.001 * 1000 = 1

Step 2. Convert integer equations into a fraction.

The equation got from Step 1, divide both sides by 1000 at the same time to get the initial fraction form.

0.001 = 11000

Step 3. Find the greatest common divisor.

Next, we have to find the greatest common divisor of 1 and 1000.

The factors of 1 are 1.

The factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000.

So, the greatest common divisor of 1 and 1000 is 1.

GCD(1, 1000) = 1

Step 4. Simplify the fraction.

Now, we have found that the greatest common divisor of 1 and 1000 is 1. So, the initial fraction is the most simplified fraction.

0.001 = 11000

 

So, the answer of 0.001 as a fraction is 11000.

This is the routine conversion process from decimal to fraction. Is there a simpler one? Let’s take a look at the following method.

Method 2: Change 0.001 into a fraction by formula.

Finite Decimals to Fractions Formula
We know that 0.001 is a finite decimal with 3 decimal places. Through the finite decimal to fraction formula, we can get that the initial denominator of the fraction is 1000 and the initial numerator is 1. So the initial form of the fraction is 11000.

The next steps are the same as Method 1. Find the greatest common divisor of 1 and 1000 is 1, then simplify the initial fraction. The final answer is also 11000.

Conclusion

Comparing these two methods, both methods can calculate the fraction of 0.001, but the second formula method is relatively simple and can get the initial form of the fraction in one step. Especially when you want to convert an infinite repeating decimal to a fraction, the advantage is particularly obvious.

Finally, tell you a little trick which can save all the calculation steps. This is directly using the online free decimal to fraction calculator we provide. Both finite and infinite decimals can be easily converted to fractions. Of course, the final fraction is simplified. It can be an improper fraction or a mixed fraction. Everyone is welcome to use!

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