How to convert 310.13894285826 as a fraction

Question: What is 310.13894285826 as a fraction?


Answer: 310.13894285826 as a fraction is 11165/36


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How to convert 310.13894285826 as a fraction?

Solution:310.13894285826 as a fraction is 11165/36

Step 1:

The first step to converting 310.13894285826 to a fraction is to re-write 310.13894285826 in the form p/q where p and q are both positive integers. To start with, 310.13894285826 can be written as simply 310.13894285826/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 310.13894285826, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 310.13894285826/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 310.13894285826/1 each by 100000000000:

31013894285826/10 / 100000000000/10 = 31013894285826 / 100000000000

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 310.13894285826 as a fraction:

11165/36 / 1

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