How to convert 47.121260898718 as a fraction

Question: What is 47.121260898718 as a fraction?


Answer: 47.121260898718 as a fraction is 28367/602


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How to convert 47.121260898718 as a fraction?

Solution:47.121260898718 as a fraction is 28367/602

Step 1:

The first step to converting 47.121260898718 to a fraction is to re-write 47.121260898718 in the form p/q where p and q are both positive integers. To start with, 47.121260898718 can be written as simply 47.121260898718/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 47.121260898718, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 47.121260898718/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 47.121260898718/1 each by 1000000000000:

47121260898718/10 / 1000000000000/10 = 47121260898718 / 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 47.121260898718 as a fraction:

28367/602 / 1

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