How to convert 140.41382797313 as a fraction

Question: What is 140.41382797313 as a fraction?


Answer: 140.41382797313 as a fraction is 4072/29


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How to convert 140.41382797313 as a fraction?

Solution:140.41382797313 as a fraction is 4072/29

Step 1:

The first step to converting 140.41382797313 to a fraction is to re-write 140.41382797313 in the form p/q where p and q are both positive integers. To start with, 140.41382797313 can be written as simply 140.41382797313/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 140.41382797313, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 140.41382797313/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 140.41382797313/1 each by 100000000000:

14041382797313/10 / 100000000000/10 = 14041382797313 / 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 140.41382797313 as a fraction:

4072/29 / 1

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