How to convert 85.908461538462 as a fraction

Question: What is 85.908461538462 as a fraction?


Answer: 85.908461538462 as a fraction is 12199/142


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How to convert 85.908461538462 as a fraction?

Solution:85.908461538462 as a fraction is 12199/142

Step 1:

The first step to converting 85.908461538462 to a fraction is to re-write 85.908461538462 in the form p/q where p and q are both positive integers. To start with, 85.908461538462 can be written as simply 85.908461538462/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 85.908461538462, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 85.908461538462/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 85.908461538462/1 each by 1000000000000:

85908461538462/10 / 1000000000000/10 = 85908461538462 / 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 85.908461538462 as a fraction:

12199/142 / 1

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