How to convert 961.4142187508 as a fraction

Question: What is 961.4142187508 as a fraction?


Answer: 961.4142187508 as a fraction is 27881/29


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How to convert 961.4142187508 as a fraction?

Solution:961.4142187508 as a fraction is 27881/29

Step 1:

The first step to converting 961.4142187508 to a fraction is to re-write 961.4142187508 in the form p/q where p and q are both positive integers. To start with, 961.4142187508 can be written as simply 961.4142187508/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 961.4142187508, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 961.4142187508/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 961.4142187508/1 each by 10000000000:

9614142187508/10 / 10000000000/10 = 9614142187508 / 10000000000

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 961.4142187508 as a fraction:

27881/29 / 1

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