How to convert 359.28657949619 as a fraction

Question: What is 359.28657949619 as a fraction?


Answer: 359.28657949619 as a fraction is 58923/164


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How to convert 359.28657949619 as a fraction?

Solution:359.28657949619 as a fraction is 58923/164

Step 1:

The first step to converting 359.28657949619 to a fraction is to re-write 359.28657949619 in the form p/q where p and q are both positive integers. To start with, 359.28657949619 can be written as simply 359.28657949619/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 359.28657949619, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 359.28657949619/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 359.28657949619/1 each by 100000000000:

35928657949619/10 / 100000000000/10 = 35928657949619 / 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 359.28657949619 as a fraction:

58923/164 / 1

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