How to convert 489.78141433718 as a fraction

Question: What is 489.78141433718 as a fraction?


Answer: 489.78141433718 as a fraction is 15673/32


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How to convert 489.78141433718 as a fraction?

Solution:489.78141433718 as a fraction is 15673/32

Step 1:

The first step to converting 489.78141433718 to a fraction is to re-write 489.78141433718 in the form p/q where p and q are both positive integers. To start with, 489.78141433718 can be written as simply 489.78141433718/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 489.78141433718, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 489.78141433718/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 489.78141433718/1 each by 100000000000:

48978141433718/10 / 100000000000/10 = 48978141433718 / 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 489.78141433718 as a fraction:

15673/32 / 1

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