How to convert 213.31547812 as a fraction

Question: What is 213.31547812 as a fraction?


Answer: 213.31547812 as a fraction is 35837/168


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How to convert 213.31547812 as a fraction?

Solution:213.31547812 as a fraction is 35837/168

Step 1:

The first step to converting 213.31547812 to a fraction is to re-write 213.31547812 in the form p/q where p and q are both positive integers. To start with, 213.31547812 can be written as simply 213.31547812/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 213.31547812, which in this case is 8. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 213.31547812/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 213.31547812/1 each by 100000000:

21331547812/10 / 100000000/10 = 21331547812 / 100000000

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 213.31547812 as a fraction:

35837/168 / 1

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