How to convert 3.676811 as a fraction

Question: What is 3.676811 as a fraction?


Answer: 3.676811 as a fraction is 2537/690


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How to convert 3.676811 as a fraction?

Solution:3.676811 as a fraction is 2537/690

Step 1:

The first step to converting 3.676811 to a fraction is to re-write 3.676811 in the form p/q where p and q are both positive integers. To start with, 3.676811 can be written as simply 3.676811/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3.676811, which in this case is 6. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.676811/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3.676811/1 each by 1000000:

3676811/10 / 1000000/10 = 3676811 / 1000000

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 3.676811 as a fraction:

2537/690 / 1

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