How to convert 0.3647721403743 as a fraction

Question: What is 0.3647721403743 as a fraction?


Answer: 0.3647721403743 as a fraction is 584/1601


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How to convert 0.3647721403743 as a fraction?

Solution:0.3647721403743 as a fraction is 584/1601

Step 1:

The first step to converting 0.3647721403743 to a fraction is to re-write 0.3647721403743 in the form p/q where p and q are both positive integers. To start with, 0.3647721403743 can be written as simply 0.3647721403743/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 0.3647721403743, which in this case is 13. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.3647721403743/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 0.3647721403743/1 each by 10000000000000:

03647721403743/10 / 10000000000000/10 = 03647721403743 / 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 0.3647721403743 as a fraction:

584/1601 / 1

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