How to convert 163.84315789907 as a fraction

Question: What is 163.84315789907 as a fraction?


Answer: 163.84315789907 as a fraction is 8356/51


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How to convert 163.84315789907 as a fraction?

Solution:163.84315789907 as a fraction is 8356/51

Step 1:

The first step to converting 163.84315789907 to a fraction is to re-write 163.84315789907 in the form p/q where p and q are both positive integers. To start with, 163.84315789907 can be written as simply 163.84315789907/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 163.84315789907, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 163.84315789907/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 163.84315789907/1 each by 100000000000:

16384315789907/10 / 100000000000/10 = 16384315789907 / 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 163.84315789907 as a fraction:

8356/51 / 1

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