How to convert 45.40825387793 as a fraction

Question: What is 45.40825387793 as a fraction?


Answer: 45.40825387793 as a fraction is 9899/218


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How to convert 45.40825387793 as a fraction?

Solution:45.40825387793 as a fraction is 9899/218

Step 1:

The first step to converting 45.40825387793 to a fraction is to re-write 45.40825387793 in the form p/q where p and q are both positive integers. To start with, 45.40825387793 can be written as simply 45.40825387793/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 45.40825387793, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 45.40825387793/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 45.40825387793/1 each by 100000000000:

4540825387793/10 / 100000000000/10 = 4540825387793 / 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 45.40825387793 as a fraction:

9899/218 / 1

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