How to convert 5.789913929968 as a fraction

Question: What is 5.789913929968 as a fraction?


Answer: 5.789913929968 as a fraction is 689/119


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How to convert 5.789913929968 as a fraction?

Solution:5.789913929968 as a fraction is 689/119

Step 1:

The first step to converting 5.789913929968 to a fraction is to re-write 5.789913929968 in the form p/q where p and q are both positive integers. To start with, 5.789913929968 can be written as simply 5.789913929968/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 5.789913929968, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5.789913929968/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 5.789913929968/1 each by 1000000000000:

5789913929968/10 / 1000000000000/10 = 5789913929968 / 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 5.789913929968 as a fraction:

689/119 / 1

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