How to convert 495.40409 as a fraction

Question: What is 495.40409 as a fraction?


Answer: 495.40409 as a fraction is 23284/47


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How to convert 495.40409 as a fraction?

Solution:495.40409 as a fraction is 23284/47

Step 1:

The first step to converting 495.40409 to a fraction is to re-write 495.40409 in the form p/q where p and q are both positive integers. To start with, 495.40409 can be written as simply 495.40409/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 495.40409, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 495.40409/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 495.40409/1 each by 100000:

49540409/10 / 100000/10 = 49540409 / 100000

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 495.40409 as a fraction:

23284/47 / 1

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