How to convert 397.724375 as a fraction

Question: What is 397.724375 as a fraction?


Answer: 397.724375 as a fraction is 11534/29


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How to convert 397.724375 as a fraction?

Solution:397.724375 as a fraction is 11534/29

Step 1:

The first step to converting 397.724375 to a fraction is to re-write 397.724375 in the form p/q where p and q are both positive integers. To start with, 397.724375 can be written as simply 397.724375/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 397.724375, which in this case is 6. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 397.724375/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 397.724375/1 each by 1000000:

397724375/10 / 1000000/10 = 397724375 / 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 397.724375 as a fraction:

11534/29 / 1

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