How to convert 789.54593749382 as a fraction

Question: What is 789.54593749382 as a fraction?


Answer: 789.54593749382 as a fraction is 8685/11


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How to convert 789.54593749382 as a fraction?

Solution:789.54593749382 as a fraction is 8685/11

Step 1:

The first step to converting 789.54593749382 to a fraction is to re-write 789.54593749382 in the form p/q where p and q are both positive integers. To start with, 789.54593749382 can be written as simply 789.54593749382/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 789.54593749382, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 789.54593749382/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 789.54593749382/1 each by 100000000000:

78954593749382/10 / 100000000000/10 = 78954593749382 / 100000000000

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 789.54593749382 as a fraction:

8685/11 / 1

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