How to convert 209.85798333334 as a fraction

Question: What is 209.85798333334 as a fraction?


Answer: 209.85798333334 as a fraction is 35466/169


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How to convert 209.85798333334 as a fraction?

Solution:209.85798333334 as a fraction is 35466/169

Step 1:

The first step to converting 209.85798333334 to a fraction is to re-write 209.85798333334 in the form p/q where p and q are both positive integers. To start with, 209.85798333334 can be written as simply 209.85798333334/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 209.85798333334, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 209.85798333334/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 209.85798333334/1 each by 100000000000:

20985798333334/10 / 100000000000/10 = 20985798333334 / 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 209.85798333334 as a fraction:

35466/169 / 1

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