How to convert 128.47842039823 as a fraction

Question: What is 128.47842039823 as a fraction?


Answer: 128.47842039823 as a fraction is 32762/255


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How to convert 128.47842039823 as a fraction?

Solution:128.47842039823 as a fraction is 32762/255

Step 1:

The first step to converting 128.47842039823 to a fraction is to re-write 128.47842039823 in the form p/q where p and q are both positive integers. To start with, 128.47842039823 can be written as simply 128.47842039823/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 128.47842039823, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 128.47842039823/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 128.47842039823/1 each by 100000000000:

12847842039823/10 / 100000000000/10 = 12847842039823 / 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 128.47842039823 as a fraction:

32762/255 / 1

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