How to convert 85.200913085498 as a fraction

Question: What is 85.200913085498 as a fraction?


Answer: 85.200913085498 as a fraction is 18659/219


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How to convert 85.200913085498 as a fraction?

Solution:85.200913085498 as a fraction is 18659/219

Step 1:

The first step to converting 85.200913085498 to a fraction is to re-write 85.200913085498 in the form p/q where p and q are both positive integers. To start with, 85.200913085498 can be written as simply 85.200913085498/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 85.200913085498, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 85.200913085498/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 85.200913085498/1 each by 1000000000000:

85200913085498/10 / 1000000000000/10 = 85200913085498 / 1000000000000

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 85.200913085498 as a fraction:

18659/219 / 1

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