How to convert 104.735433542 as a fraction

Question: What is 104.735433542 as a fraction?


Answer: 104.735433542 as a fraction is 19795/189


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How to convert 104.735433542 as a fraction?

Solution:104.735433542 as a fraction is 19795/189

Step 1:

The first step to converting 104.735433542 to a fraction is to re-write 104.735433542 in the form p/q where p and q are both positive integers. To start with, 104.735433542 can be written as simply 104.735433542/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 104.735433542, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 104.735433542/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 104.735433542/1 each by 1000000000:

104735433542/10 / 1000000000/10 = 104735433542 / 1000000000

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 104.735433542 as a fraction:

19795/189 / 1

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