How to convert 55.78795725198 as a fraction

Question: What is 55.78795725198 as a fraction?


Answer: 55.78795725198 as a fraction is 21311/382


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How to convert 55.78795725198 as a fraction?

Solution:55.78795725198 as a fraction is 21311/382

Step 1:

The first step to converting 55.78795725198 to a fraction is to re-write 55.78795725198 in the form p/q where p and q are both positive integers. To start with, 55.78795725198 can be written as simply 55.78795725198/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 55.78795725198, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 55.78795725198/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 55.78795725198/1 each by 100000000000:

5578795725198/10 / 100000000000/10 = 5578795725198 / 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 55.78795725198 as a fraction:

21311/382 / 1

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