How to convert 196.77824731271 as a fraction

Question: What is 196.77824731271 as a fraction?


Answer: 196.77824731271 as a fraction is 45259/230


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How to convert 196.77824731271 as a fraction?

Solution:196.77824731271 as a fraction is 45259/230

Step 1:

The first step to converting 196.77824731271 to a fraction is to re-write 196.77824731271 in the form p/q where p and q are both positive integers. To start with, 196.77824731271 can be written as simply 196.77824731271/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 196.77824731271, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 196.77824731271/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 196.77824731271/1 each by 100000000000:

19677824731271/10 / 100000000000/10 = 19677824731271 / 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 196.77824731271 as a fraction:

45259/230 / 1

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