How to convert 5.821255796538 as a fraction

Question: What is 5.821255796538 as a fraction?


Answer: 5.821255796538 as a fraction is 1205/207


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How to convert 5.821255796538 as a fraction?

Solution:5.821255796538 as a fraction is 1205/207

Step 1:

The first step to converting 5.821255796538 to a fraction is to re-write 5.821255796538 in the form p/q where p and q are both positive integers. To start with, 5.821255796538 can be written as simply 5.821255796538/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 5.821255796538, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5.821255796538/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 5.821255796538/1 each by 1000000000000:

5821255796538/10 / 1000000000000/10 = 5821255796538 / 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 5.821255796538 as a fraction:

1205/207 / 1

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