How to convert 274.82308593749 as a fraction

Question: What is 274.82308593749 as a fraction?


Answer: 274.82308593749 as a fraction is 35727/130


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How to convert 274.82308593749 as a fraction?

Solution:274.82308593749 as a fraction is 35727/130

Step 1:

The first step to converting 274.82308593749 to a fraction is to re-write 274.82308593749 in the form p/q where p and q are both positive integers. To start with, 274.82308593749 can be written as simply 274.82308593749/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 274.82308593749, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 274.82308593749/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 274.82308593749/1 each by 100000000000:

27482308593749/10 / 100000000000/10 = 27482308593749 / 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 274.82308593749 as a fraction:

35727/130 / 1

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