How to convert 1000.289999999 as a fraction

Question: What is 1000.289999999 as a fraction?


Answer: 1000.289999999 as a fraction is 31009/31


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How to convert 1000.289999999 as a fraction?

Solution:1000.289999999 as a fraction is 31009/31

Step 1:

The first step to converting 1000.289999999 to a fraction is to re-write 1000.289999999 in the form p/q where p and q are both positive integers. To start with, 1000.289999999 can be written as simply 1000.289999999/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1000.289999999, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1000.289999999/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1000.289999999/1 each by 1000000000:

1000289999999/10 / 1000000000/10 = 1000289999999 / 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 1000.289999999 as a fraction:

31009/31 / 1

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