How to convert 85.86506179198 as a fraction

Question: What is 85.86506179198 as a fraction?


Answer: 85.86506179198 as a fraction is 10819/126


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How to convert 85.86506179198 as a fraction?

Solution:85.86506179198 as a fraction is 10819/126

Step 1:

The first step to converting 85.86506179198 to a fraction is to re-write 85.86506179198 in the form p/q where p and q are both positive integers. To start with, 85.86506179198 can be written as simply 85.86506179198/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 85.86506179198, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 85.86506179198/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 85.86506179198/1 each by 100000000000:

8586506179198/10 / 100000000000/10 = 8586506179198 / 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 85.86506179198 as a fraction:

10819/126 / 1

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