How to convert 173.21757812424 as a fraction

Question: What is 173.21757812424 as a fraction?


Answer: 173.21757812424 as a fraction is 37415/216


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How to convert 173.21757812424 as a fraction?

Solution:173.21757812424 as a fraction is 37415/216

Step 1:

The first step to converting 173.21757812424 to a fraction is to re-write 173.21757812424 in the form p/q where p and q are both positive integers. To start with, 173.21757812424 can be written as simply 173.21757812424/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 173.21757812424, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 173.21757812424/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 173.21757812424/1 each by 100000000000:

17321757812424/10 / 100000000000/10 = 17321757812424 / 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 173.21757812424 as a fraction:

37415/216 / 1

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