How to convert 494.78257816566 as a fraction

Question: What is 494.78257816566 as a fraction?


Answer: 494.78257816566 as a fraction is 11380/23


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How to convert 494.78257816566 as a fraction?

Solution:494.78257816566 as a fraction is 11380/23

Step 1:

The first step to converting 494.78257816566 to a fraction is to re-write 494.78257816566 in the form p/q where p and q are both positive integers. To start with, 494.78257816566 can be written as simply 494.78257816566/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 494.78257816566, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 494.78257816566/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 494.78257816566/1 each by 100000000000:

49478257816566/10 / 100000000000/10 = 49478257816566 / 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 494.78257816566 as a fraction:

11380/23 / 1

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