How to convert 200.41146 as a fraction

Question: What is 200.41146 as a fraction?


Answer: 200.41146 as a fraction is 38479/192


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How to convert 200.41146 as a fraction?

Solution:200.41146 as a fraction is 38479/192

Step 1:

The first step to converting 200.41146 to a fraction is to re-write 200.41146 in the form p/q where p and q are both positive integers. To start with, 200.41146 can be written as simply 200.41146/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 200.41146, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 200.41146/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 200.41146/1 each by 100000:

20041146/10 / 100000/10 = 20041146 / 100000

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 200.41146 as a fraction:

38479/192 / 1

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