How to convert 3.664333 as a fraction

Question: What is 3.664333 as a fraction?


Answer: 3.664333 as a fraction is 524/143


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How to convert 3.664333 as a fraction?

Solution:3.664333 as a fraction is 524/143

Step 1:

The first step to converting 3.664333 to a fraction is to re-write 3.664333 in the form p/q where p and q are both positive integers. To start with, 3.664333 can be written as simply 3.664333/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3.664333, which in this case is 6. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.664333/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3.664333/1 each by 1000000:

3664333/10 / 1000000/10 = 3664333 / 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 3.664333 as a fraction:

524/143 / 1

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