How to convert 586.2696 as a fraction

Question: What is 586.2696 as a fraction?


Answer: 586.2696 as a fraction is 15243/26


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How to convert 586.2696 as a fraction?

Solution:586.2696 as a fraction is 15243/26

Step 1:

The first step to converting 586.2696 to a fraction is to re-write 586.2696 in the form p/q where p and q are both positive integers. To start with, 586.2696 can be written as simply 586.2696/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 586.2696, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 586.2696/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 586.2696/1 each by 10000:

5862696/10 / 10000/10 = 5862696 / 10000

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 586.2696 as a fraction:

15243/26 / 1

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