How to convert 422.4142326589 as a fraction

What is 422.4142326589 as a fraction?


Solution: 422.4142326589 as a fraction is 29569/70


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How to convert 422.4142326589 as a fraction?

Solution:422.4142326589 as a fraction is 29569/70

Step 1:

The first step to converting 422.4142326589 to a fraction is to re-write 422.4142326589 in the form p/q where p and q are both positive integers. To start with, 422.4142326589 can be written as simply 422.4142326589/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 422.4142326589, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 422.4142326589/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 422.4142326589/1 each by 10000000000:

4224142326589/10 / 10000000000/10 = 4224142326589 / 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 422.4142326589 as a fraction:

29569/70 / 1

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