How to convert 103.82589759113 as a fraction

Question: What is 103.82589759113 as a fraction?


Answer: 103.82589759113 as a fraction is 23257/224


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How to convert 103.82589759113 as a fraction?

Solution:103.82589759113 as a fraction is 23257/224

Step 1:

The first step to converting 103.82589759113 to a fraction is to re-write 103.82589759113 in the form p/q where p and q are both positive integers. To start with, 103.82589759113 can be written as simply 103.82589759113/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 103.82589759113, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 103.82589759113/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 103.82589759113/1 each by 100000000000:

10382589759113/10 / 100000000000/10 = 10382589759113 / 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 103.82589759113 as a fraction:

23257/224 / 1

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