How to convert 466.3947 as a fraction

Question: What is 466.3947 as a fraction?


Answer: 466.3947 as a fraction is 17723/38


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How to convert 466.3947 as a fraction?

Solution:466.3947 as a fraction is 17723/38

Step 1:

The first step to converting 466.3947 to a fraction is to re-write 466.3947 in the form p/q where p and q are both positive integers. To start with, 466.3947 can be written as simply 466.3947/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 466.3947, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 466.3947/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 466.3947/1 each by 10000:

4663947/10 / 10000/10 = 4663947 / 10000

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 466.3947 as a fraction:

17723/38 / 1

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