How to convert 318.14171079744 as a fraction

Question: What is 318.14171079744 as a fraction?


Answer: 318.14171079744 as a fraction is 38177/120


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How to convert 318.14171079744 as a fraction?

Solution:318.14171079744 as a fraction is 38177/120

Step 1:

The first step to converting 318.14171079744 to a fraction is to re-write 318.14171079744 in the form p/q where p and q are both positive integers. To start with, 318.14171079744 can be written as simply 318.14171079744/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 318.14171079744, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 318.14171079744/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 318.14171079744/1 each by 100000000000:

31814171079744/10 / 100000000000/10 = 31814171079744 / 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 318.14171079744 as a fraction:

38177/120 / 1

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