How to convert 33.917686327831 as a fraction

Question: What is 33.917686327831 as a fraction?


Answer: 33.917686327831 as a fraction is 8242/243


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How to convert 33.917686327831 as a fraction?

Solution:33.917686327831 as a fraction is 8242/243

Step 1:

The first step to converting 33.917686327831 to a fraction is to re-write 33.917686327831 in the form p/q where p and q are both positive integers. To start with, 33.917686327831 can be written as simply 33.917686327831/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 33.917686327831, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 33.917686327831/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 33.917686327831/1 each by 1000000000000:

33917686327831/10 / 1000000000000/10 = 33917686327831 / 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 33.917686327831 as a fraction:

8242/243 / 1

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