How to convert 323.284741821 as a fraction

Question: What is 323.284741821 as a fraction?


Answer: 323.284741821 as a fraction is 46553/144


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How to convert 323.284741821 as a fraction?

Solution:323.284741821 as a fraction is 46553/144

Step 1:

The first step to converting 323.284741821 to a fraction is to re-write 323.284741821 in the form p/q where p and q are both positive integers. To start with, 323.284741821 can be written as simply 323.284741821/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 323.284741821, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 323.284741821/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 323.284741821/1 each by 1000000000:

323284741821/10 / 1000000000/10 = 323284741821 / 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 323.284741821 as a fraction:

46553/144 / 1

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