How to convert 288.78522488469 as a fraction

Question: What is 288.78522488469 as a fraction?


Answer: 288.78522488469 as a fraction is 38986/135


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How to convert 288.78522488469 as a fraction?

Solution:288.78522488469 as a fraction is 38986/135

Step 1:

The first step to converting 288.78522488469 to a fraction is to re-write 288.78522488469 in the form p/q where p and q are both positive integers. To start with, 288.78522488469 can be written as simply 288.78522488469/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 288.78522488469, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 288.78522488469/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 288.78522488469/1 each by 100000000000:

28878522488469/10 / 100000000000/10 = 28878522488469 / 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 288.78522488469 as a fraction:

38986/135 / 1

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