How to convert 413.77564524138 as a fraction

Question: What is 413.77564524138 as a fraction?


Answer: 413.77564524138 as a fraction is 20275/49


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How to convert 413.77564524138 as a fraction?

Solution:413.77564524138 as a fraction is 20275/49

Step 1:

The first step to converting 413.77564524138 to a fraction is to re-write 413.77564524138 in the form p/q where p and q are both positive integers. To start with, 413.77564524138 can be written as simply 413.77564524138/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 413.77564524138, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 413.77564524138/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 413.77564524138/1 each by 100000000000:

41377564524138/10 / 100000000000/10 = 41377564524138 / 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 413.77564524138 as a fraction:

20275/49 / 1

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