How to convert 85.86421086933 as a fraction

Question: What is 85.86421086933 as a fraction?


Answer: 85.86421086933 as a fraction is 6955/81


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How to convert 85.86421086933 as a fraction?

Solution:85.86421086933 as a fraction is 6955/81

Step 1:

The first step to converting 85.86421086933 to a fraction is to re-write 85.86421086933 in the form p/q where p and q are both positive integers. To start with, 85.86421086933 can be written as simply 85.86421086933/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 85.86421086933, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 85.86421086933/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 85.86421086933/1 each by 100000000000:

8586421086933/10 / 100000000000/10 = 8586421086933 / 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 85.86421086933 as a fraction:

6955/81 / 1

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