How to convert 163.5234671875 as a fraction

Question: What is 163.5234671875 as a fraction?


Answer: 163.5234671875 as a fraction is 20931/128


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How to convert 163.5234671875 as a fraction?

Solution:163.5234671875 as a fraction is 20931/128

Step 1:

The first step to converting 163.5234671875 to a fraction is to re-write 163.5234671875 in the form p/q where p and q are both positive integers. To start with, 163.5234671875 can be written as simply 163.5234671875/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 163.5234671875, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 163.5234671875/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 163.5234671875/1 each by 10000000000:

1635234671875/10 / 10000000000/10 = 1635234671875 / 10000000000

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 163.5234671875 as a fraction:

20931/128 / 1

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