How to convert 828.79090909 as a fraction

Question: What is 828.79090909 as a fraction?


Answer: 828.79090909 as a fraction is 19891/24


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How to convert 828.79090909 as a fraction?

Solution:828.79090909 as a fraction is 19891/24

Step 1:

The first step to converting 828.79090909 to a fraction is to re-write 828.79090909 in the form p/q where p and q are both positive integers. To start with, 828.79090909 can be written as simply 828.79090909/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 828.79090909, which in this case is 8. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 828.79090909/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 828.79090909/1 each by 100000000:

82879090909/10 / 100000000/10 = 82879090909 / 100000000

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 828.79090909 as a fraction:

19891/24 / 1

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