How to convert 5.658284273242 as a fraction

Question: What is 5.658284273242 as a fraction?


Answer: 5.658284273242 as a fraction is 3825/676


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How to convert 5.658284273242 as a fraction?

Solution:5.658284273242 as a fraction is 3825/676

Step 1:

The first step to converting 5.658284273242 to a fraction is to re-write 5.658284273242 in the form p/q where p and q are both positive integers. To start with, 5.658284273242 can be written as simply 5.658284273242/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 5.658284273242, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5.658284273242/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 5.658284273242/1 each by 1000000000000:

5658284273242/10 / 1000000000000/10 = 5658284273242 / 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 5.658284273242 as a fraction:

3825/676 / 1

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