How to convert 3.8317382812146 as a fraction

Question: What is 3.8317382812146 as a fraction?


Answer: 3.8317382812146 as a fraction is 2004/523


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How to convert 3.8317382812146 as a fraction?

Solution:3.8317382812146 as a fraction is 2004/523

Step 1:

The first step to converting 3.8317382812146 to a fraction is to re-write 3.8317382812146 in the form p/q where p and q are both positive integers. To start with, 3.8317382812146 can be written as simply 3.8317382812146/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3.8317382812146, which in this case is 13. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.8317382812146/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3.8317382812146/1 each by 10000000000000:

38317382812146/10 / 10000000000000/10 = 38317382812146 / 10000000000000

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 3.8317382812146 as a fraction:

2004/523 / 1

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