How to convert 938.4142482449 as a fraction

Question: What is 938.4142482449 as a fraction?


Answer: 938.4142482449 as a fraction is 27214/29


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How to convert 938.4142482449 as a fraction?

Solution:938.4142482449 as a fraction is 27214/29

Step 1:

The first step to converting 938.4142482449 to a fraction is to re-write 938.4142482449 in the form p/q where p and q are both positive integers. To start with, 938.4142482449 can be written as simply 938.4142482449/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 938.4142482449, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 938.4142482449/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 938.4142482449/1 each by 10000000000:

9384142482449/10 / 10000000000/10 = 9384142482449 / 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 938.4142482449 as a fraction:

27214/29 / 1

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