How to convert 8.21841414743 as a fraction

Question: What is 8.21841414743 as a fraction?


Answer: 8.21841414743 as a fraction is 3838/467


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How to convert 8.21841414743 as a fraction?

Solution:8.21841414743 as a fraction is 3838/467

Step 1:

The first step to converting 8.21841414743 to a fraction is to re-write 8.21841414743 in the form p/q where p and q are both positive integers. To start with, 8.21841414743 can be written as simply 8.21841414743/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 8.21841414743, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 8.21841414743/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 8.21841414743/1 each by 100000000000:

821841414743/10 / 100000000000/10 = 821841414743 / 100000000000

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 8.21841414743 as a fraction:

3838/467 / 1

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