How to convert 285.34142849819 as a fraction

Question: What is 285.34142849819 as a fraction?


Answer: 285.34142849819 as a fraction is 11699/41


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How to convert 285.34142849819 as a fraction?

Solution:285.34142849819 as a fraction is 11699/41

Step 1:

The first step to converting 285.34142849819 to a fraction is to re-write 285.34142849819 in the form p/q where p and q are both positive integers. To start with, 285.34142849819 can be written as simply 285.34142849819/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 285.34142849819, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 285.34142849819/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 285.34142849819/1 each by 100000000000:

28534142849819/10 / 100000000000/10 = 28534142849819 / 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 285.34142849819 as a fraction:

11699/41 / 1

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