How to convert 986.3848709626 as a fraction

Question: What is 986.3848709626 as a fraction?


Answer: 986.3848709626 as a fraction is 12823/13


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How to convert 986.3848709626 as a fraction?

Solution:986.3848709626 as a fraction is 12823/13

Step 1:

The first step to converting 986.3848709626 to a fraction is to re-write 986.3848709626 in the form p/q where p and q are both positive integers. To start with, 986.3848709626 can be written as simply 986.3848709626/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 986.3848709626, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 986.3848709626/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 986.3848709626/1 each by 10000000000:

9863848709626/10 / 10000000000/10 = 9863848709626 / 10000000000

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 986.3848709626 as a fraction:

12823/13 / 1

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