How to convert 172.782556875 as a fraction

Question: What is 172.782556875 as a fraction?


Answer: 172.782556875 as a fraction is 3974/23


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How to convert 172.782556875 as a fraction?

Solution:172.782556875 as a fraction is 3974/23

Step 1:

The first step to converting 172.782556875 to a fraction is to re-write 172.782556875 in the form p/q where p and q are both positive integers. To start with, 172.782556875 can be written as simply 172.782556875/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 172.782556875, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 172.782556875/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 172.782556875/1 each by 1000000000:

172782556875/10 / 1000000000/10 = 172782556875 / 1000000000

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 172.782556875 as a fraction:

3974/23 / 1

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