How to convert 5.64828108261 as a fraction

Question: What is 5.64828108261 as a fraction?


Answer: 5.64828108261 as a fraction is 819/145


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How to convert 5.64828108261 as a fraction?

Solution:5.64828108261 as a fraction is 819/145

Step 1:

The first step to converting 5.64828108261 to a fraction is to re-write 5.64828108261 in the form p/q where p and q are both positive integers. To start with, 5.64828108261 can be written as simply 5.64828108261/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 5.64828108261, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5.64828108261/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 5.64828108261/1 each by 100000000000:

564828108261/10 / 100000000000/10 = 564828108261 / 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 5.64828108261 as a fraction:

819/145 / 1

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