How to convert 5.798251364538 as a fraction

Question: What is 5.798251364538 as a fraction?


Answer: 5.798251364538 as a fraction is 661/114


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How to convert 5.798251364538 as a fraction?

Solution:5.798251364538 as a fraction is 661/114

Step 1:

The first step to converting 5.798251364538 to a fraction is to re-write 5.798251364538 in the form p/q where p and q are both positive integers. To start with, 5.798251364538 can be written as simply 5.798251364538/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 5.798251364538, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5.798251364538/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 5.798251364538/1 each by 1000000000000:

5798251364538/10 / 1000000000000/10 = 5798251364538 / 1000000000000

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 5.798251364538 as a fraction:

661/114 / 1

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