How to convert 477.54148726547 as a fraction

Question: What is 477.54148726547 as a fraction?


Answer: 477.54148726547 as a fraction is 11461/24


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How to convert 477.54148726547 as a fraction?

Solution:477.54148726547 as a fraction is 11461/24

Step 1:

The first step to converting 477.54148726547 to a fraction is to re-write 477.54148726547 in the form p/q where p and q are both positive integers. To start with, 477.54148726547 can be written as simply 477.54148726547/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 477.54148726547, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 477.54148726547/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 477.54148726547/1 each by 100000000000:

47754148726547/10 / 100000000000/10 = 47754148726547 / 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 477.54148726547 as a fraction:

11461/24 / 1

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