How to convert 54.82636287774 as a fraction

Question: What is 54.82636287774 as a fraction?


Answer: 54.82636287774 as a fraction is 7895/144


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How to convert 54.82636287774 as a fraction?

Solution:54.82636287774 as a fraction is 7895/144

Step 1:

The first step to converting 54.82636287774 to a fraction is to re-write 54.82636287774 in the form p/q where p and q are both positive integers. To start with, 54.82636287774 can be written as simply 54.82636287774/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 54.82636287774, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 54.82636287774/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 54.82636287774/1 each by 100000000000:

5482636287774/10 / 100000000000/10 = 5482636287774 / 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 54.82636287774 as a fraction:

7895/144 / 1

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