How to convert 585.386653735 as a fraction

Question: What is 585.386653735 as a fraction?


Answer: 585.386653735 as a fraction is 18147/31


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How to convert 585.386653735 as a fraction?

Solution:585.386653735 as a fraction is 18147/31

Step 1:

The first step to converting 585.386653735 to a fraction is to re-write 585.386653735 in the form p/q where p and q are both positive integers. To start with, 585.386653735 can be written as simply 585.386653735/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 585.386653735, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 585.386653735/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 585.386653735/1 each by 1000000000:

585386653735/10 / 1000000000/10 = 585386653735 / 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 585.386653735 as a fraction:

18147/31 / 1

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