How to convert 819.82314 as a fraction

Question: What is 819.82314 as a fraction?


Answer: 819.82314 as a fraction is 13937/17


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How to convert 819.82314 as a fraction?

Solution:819.82314 as a fraction is 13937/17

Step 1:

The first step to converting 819.82314 to a fraction is to re-write 819.82314 in the form p/q where p and q are both positive integers. To start with, 819.82314 can be written as simply 819.82314/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 819.82314, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 819.82314/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 819.82314/1 each by 100000:

81982314/10 / 100000/10 = 81982314 / 100000

Step 3:

Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer for 819.82314 as a fraction:

13937/17 / 1

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