How to convert 469.193283125 as a fraction

Question: What is 469.193283125 as a fraction?


Answer: 469.193283125 as a fraction is 14545/31


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How to convert 469.193283125 as a fraction?

Solution:469.193283125 as a fraction is 14545/31

Step 1:

The first step to converting 469.193283125 to a fraction is to re-write 469.193283125 in the form p/q where p and q are both positive integers. To start with, 469.193283125 can be written as simply 469.193283125/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 469.193283125, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 469.193283125/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 469.193283125/1 each by 1000000000:

469193283125/10 / 1000000000/10 = 469193283125 / 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 469.193283125 as a fraction:

14545/31 / 1

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