How to convert 198.8121875 as a fraction

Question: What is 198.8121875 as a fraction?


Answer: 198.8121875 as a fraction is 39166/197


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How to convert 198.8121875 as a fraction?

Solution:198.8121875 as a fraction is 39166/197

Step 1:

The first step to converting 198.8121875 to a fraction is to re-write 198.8121875 in the form p/q where p and q are both positive integers. To start with, 198.8121875 can be written as simply 198.8121875/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 198.8121875, which in this case is 7. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 198.8121875/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 198.8121875/1 each by 10000000:

1988121875/10 / 10000000/10 = 1988121875 / 10000000

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 198.8121875 as a fraction:

39166/197 / 1

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