How to convert 308.5728166823 as a fraction

Question: What is 308.5728166823 as a fraction?


Answer: 308.5728166823 as a fraction is 29623/96


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How to convert 308.5728166823 as a fraction?

Solution:308.5728166823 as a fraction is 29623/96

Step 1:

The first step to converting 308.5728166823 to a fraction is to re-write 308.5728166823 in the form p/q where p and q are both positive integers. To start with, 308.5728166823 can be written as simply 308.5728166823/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 308.5728166823, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 308.5728166823/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 308.5728166823/1 each by 10000000000:

3085728166823/10 / 10000000000/10 = 3085728166823 / 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 308.5728166823 as a fraction:

29623/96 / 1

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