How to convert 4.414407 as a fraction

Question: What is 4.414407 as a fraction?


Answer: 4.414407 as a fraction is 5209/1180


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How to convert 4.414407 as a fraction?

Solution:4.414407 as a fraction is 5209/1180

Step 1:

The first step to converting 4.414407 to a fraction is to re-write 4.414407 in the form p/q where p and q are both positive integers. To start with, 4.414407 can be written as simply 4.414407/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 4.414407, which in this case is 6. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 4.414407/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 4.414407/1 each by 1000000:

4414407/10 / 1000000/10 = 4414407 / 1000000

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 4.414407 as a fraction:

5209/1180 / 1

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