How to convert 840.40185307168 as a fraction

Question: What is 840.40185307168 as a fraction?


Answer: 840.40185307168 as a fraction is 89923/107


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How to convert 840.40185307168 as a fraction?

Solution:840.40185307168 as a fraction is 89923/107

Step 1:

The first step to converting 840.40185307168 to a fraction is to re-write 840.40185307168 in the form p/q where p and q are both positive integers. To start with, 840.40185307168 can be written as simply 840.40185307168/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 840.40185307168, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 840.40185307168/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 840.40185307168/1 each by 100000000000:

84040185307168/10 / 100000000000/10 = 84040185307168 / 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 840.40185307168 as a fraction:

89923/107 / 1

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