How to convert 4165.34171875 as a fraction

Question: What is 4165.34171875 as a fraction?


Answer: 4165.34171875 as a fraction is 158283/38


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How to convert 4165.34171875 as a fraction?

Solution:4165.34171875 as a fraction is 158283/38

Step 1:

The first step to converting 4165.34171875 to a fraction is to re-write 4165.34171875 in the form p/q where p and q are both positive integers. To start with, 4165.34171875 can be written as simply 4165.34171875/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 4165.34171875, which in this case is 8. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 4165.34171875/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 4165.34171875/1 each by 100000000:

416534171875/10 / 100000000/10 = 416534171875 / 100000000

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 4165.34171875 as a fraction:

158283/38 / 1

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