How to convert 45.415830632924 as a fraction

Question: What is 45.415830632924 as a fraction?


Answer: 45.415830632924 as a fraction is 4587/101


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How to convert 45.415830632924 as a fraction?

Solution:45.415830632924 as a fraction is 4587/101

Step 1:

The first step to converting 45.415830632924 to a fraction is to re-write 45.415830632924 in the form p/q where p and q are both positive integers. To start with, 45.415830632924 can be written as simply 45.415830632924/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 45.415830632924, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 45.415830632924/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 45.415830632924/1 each by 1000000000000:

45415830632924/10 / 1000000000000/10 = 45415830632924 / 1000000000000

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 45.415830632924 as a fraction:

4587/101 / 1

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