How to convert 104.65785714312 as a fraction

Question: What is 104.65785714312 as a fraction?


Answer: 104.65785714312 as a fraction is 3977/38


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How to convert 104.65785714312 as a fraction?

Solution:104.65785714312 as a fraction is 3977/38

Step 1:

The first step to converting 104.65785714312 to a fraction is to re-write 104.65785714312 in the form p/q where p and q are both positive integers. To start with, 104.65785714312 can be written as simply 104.65785714312/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 104.65785714312, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 104.65785714312/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 104.65785714312/1 each by 100000000000:

10465785714312/10 / 100000000000/10 = 10465785714312 / 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 104.65785714312 as a fraction:

3977/38 / 1

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