How to convert 287.53822383583 as a fraction

Question: What is 287.53822383583 as a fraction?


Answer: 287.53822383583 as a fraction is 3738/13


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How to convert 287.53822383583 as a fraction?

Solution:287.53822383583 as a fraction is 3738/13

Step 1:

The first step to converting 287.53822383583 to a fraction is to re-write 287.53822383583 in the form p/q where p and q are both positive integers. To start with, 287.53822383583 can be written as simply 287.53822383583/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 287.53822383583, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 287.53822383583/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 287.53822383583/1 each by 100000000000:

28753822383583/10 / 100000000000/10 = 28753822383583 / 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 287.53822383583 as a fraction:

3738/13 / 1

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