How to convert 33.142688398438 as a fraction

Question: What is 33.142688398438 as a fraction?


Answer: 33.142688398438 as a fraction is 27873/841


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How to convert 33.142688398438 as a fraction?

Solution:33.142688398438 as a fraction is 27873/841

Step 1:

The first step to converting 33.142688398438 to a fraction is to re-write 33.142688398438 in the form p/q where p and q are both positive integers. To start with, 33.142688398438 can be written as simply 33.142688398438/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 33.142688398438, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 33.142688398438/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 33.142688398438/1 each by 1000000000000:

33142688398438/10 / 1000000000000/10 = 33142688398438 / 1000000000000

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 33.142688398438 as a fraction:

27873/841 / 1

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