How to convert 198.21380681804 as a fraction

Question: What is 198.21380681804 as a fraction?


Answer: 198.21380681804 as a fraction is 28741/145


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How to convert 198.21380681804 as a fraction?

Solution:198.21380681804 as a fraction is 28741/145

Step 1:

The first step to converting 198.21380681804 to a fraction is to re-write 198.21380681804 in the form p/q where p and q are both positive integers. To start with, 198.21380681804 can be written as simply 198.21380681804/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 198.21380681804, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 198.21380681804/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 198.21380681804/1 each by 100000000000:

19821380681804/10 / 100000000000/10 = 19821380681804 / 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 198.21380681804 as a fraction:

28741/145 / 1

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