How to convert 413.79825489748 as a fraction

Question: What is 413.79825489748 as a fraction?


Answer: 413.79825489748 as a fraction is 47173/114


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How to convert 413.79825489748 as a fraction?

Solution:413.79825489748 as a fraction is 47173/114

Step 1:

The first step to converting 413.79825489748 to a fraction is to re-write 413.79825489748 in the form p/q where p and q are both positive integers. To start with, 413.79825489748 can be written as simply 413.79825489748/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 413.79825489748, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 413.79825489748/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 413.79825489748/1 each by 100000000000:

41379825489748/10 / 100000000000/10 = 41379825489748 / 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 413.79825489748 as a fraction:

47173/114 / 1

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