What is 0.8208 as a fraction? What is 0.8208 as a fraction in lowest term? What does it mean to convert 0.8208 to a fraction? It means that you want to convert the decimal number .8208 to a fraction with a numerator (N) and denominator (D). In other words, you want to solve this equation:
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Here we will not only clearly explain how to get the answer to 0.8208 as a fraction, but also prove to you that our answer is correct.
First, note that 10000 multiplied by .8208 will get rid of the decimal point. Therefore, make a fraction where the numerator is .8208 times 10000 and denominator is 10000 like this:
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Next, multiply the numbers in the numerator together and keep the denominator as is. Now our fraction looks like this:
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The greatest common factor of 8208 and 10000 is 16, which means you can divide the numerator and denominator by 16 and keep the same value:
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And when calculating the numerator and denominator in our fraction above, we get .8208 as a fraction in the simplest form possible:
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A numerator over a denominator in a fraction is the same as numerator divided by denominator. If you enter 513 divided by 625 on your calculator, you will see that the answer is 0.8208. Therefore, we know that the answer above is correct.
Decimal as a Fraction Calculator
Now you know that .8208 as a fraction is 513/625. Here you can submit another decimal number for us to convert to a fraction.
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