How to convert 406.3875 as a fraction

Question: What is 406.3875 as a fraction?


Answer: 406.3875 as a fraction is 12598/31


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How to convert 406.3875 as a fraction?

Solution:406.3875 as a fraction is 12598/31

Step 1:

The first step to converting 406.3875 to a fraction is to re-write 406.3875 in the form p/q where p and q are both positive integers. To start with, 406.3875 can be written as simply 406.3875/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 406.3875, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 406.3875/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 406.3875/1 each by 10000:

4063875/10 / 10000/10 = 4063875 / 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 406.3875 as a fraction:

12598/31 / 1

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