How to convert 321.254746875 as a fraction

Question: What is 321.254746875 as a fraction?


Answer: 321.254746875 as a fraction is 16384/51


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How to convert 321.254746875 as a fraction?

Solution:321.254746875 as a fraction is 16384/51

Step 1:

The first step to converting 321.254746875 to a fraction is to re-write 321.254746875 in the form p/q where p and q are both positive integers. To start with, 321.254746875 can be written as simply 321.254746875/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 321.254746875, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 321.254746875/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 321.254746875/1 each by 1000000000:

321254746875/10 / 1000000000/10 = 321254746875 / 1000000000

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 321.254746875 as a fraction:

16384/51 / 1

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