How to convert 999.824999999 as a fraction

Question: What is 999.824999999 as a fraction?


Answer: 999.824999999 as a fraction is 39993/40


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How to convert 999.824999999 as a fraction?

Solution:999.824999999 as a fraction is 39993/40

Step 1:

The first step to converting 999.824999999 to a fraction is to re-write 999.824999999 in the form p/q where p and q are both positive integers. To start with, 999.824999999 can be written as simply 999.824999999/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 999.824999999, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 999.824999999/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 999.824999999/1 each by 1000000000:

999824999999/10 / 1000000000/10 = 999824999999 / 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 999.824999999 as a fraction:

39993/40 / 1

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