How to convert 409.58994210358 as a fraction

Question: What is 409.58994210358 as a fraction?


Answer: 409.58994210358 as a fraction is 15974/39


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How to convert 409.58994210358 as a fraction?

Solution:409.58994210358 as a fraction is 15974/39

Step 1:

The first step to converting 409.58994210358 to a fraction is to re-write 409.58994210358 in the form p/q where p and q are both positive integers. To start with, 409.58994210358 can be written as simply 409.58994210358/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 409.58994210358, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 409.58994210358/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 409.58994210358/1 each by 100000000000:

40958994210358/10 / 100000000000/10 = 40958994210358 / 100000000000

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 409.58994210358 as a fraction:

15974/39 / 1

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