How to convert 586.262421875 as a fraction

Question: What is 586.262421875 as a fraction?


Answer: 586.262421875 as a fraction is 35762/61


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How to convert 586.262421875 as a fraction?

Solution:586.262421875 as a fraction is 35762/61

Step 1:

The first step to converting 586.262421875 to a fraction is to re-write 586.262421875 in the form p/q where p and q are both positive integers. To start with, 586.262421875 can be written as simply 586.262421875/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 586.262421875, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 586.262421875/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 586.262421875/1 each by 1000000000:

586262421875/10 / 1000000000/10 = 586262421875 / 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 586.262421875 as a fraction:

35762/61 / 1

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