How to convert 318.40947884625 as a fraction

Question: What is 318.40947884625 as a fraction?


Answer: 318.40947884625 as a fraction is 33433/105


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How to convert 318.40947884625 as a fraction?

Solution:318.40947884625 as a fraction is 33433/105

Step 1:

The first step to converting 318.40947884625 to a fraction is to re-write 318.40947884625 in the form p/q where p and q are both positive integers. To start with, 318.40947884625 can be written as simply 318.40947884625/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 318.40947884625, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 318.40947884625/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 318.40947884625/1 each by 100000000000:

31840947884625/10 / 100000000000/10 = 31840947884625 / 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 318.40947884625 as a fraction:

33433/105 / 1

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