How to convert 172.78000434875 as a fraction

Question: What is 172.78000434875 as a fraction?


Answer: 172.78000434875 as a fraction is 8639/50


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How to convert 172.78000434875 as a fraction?

Solution:172.78000434875 as a fraction is 8639/50

Step 1:

The first step to converting 172.78000434875 to a fraction is to re-write 172.78000434875 in the form p/q where p and q are both positive integers. To start with, 172.78000434875 can be written as simply 172.78000434875/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 172.78000434875, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 172.78000434875/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 172.78000434875/1 each by 100000000000:

17278000434875/10 / 100000000000/10 = 17278000434875 / 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 172.78000434875 as a fraction:

8639/50 / 1

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