How to convert 249.78255523636 as a fraction

Question: What is 249.78255523636 as a fraction?


Answer: 249.78255523636 as a fraction is 5745/23


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How to convert 249.78255523636 as a fraction?

Solution:249.78255523636 as a fraction is 5745/23

Step 1:

The first step to converting 249.78255523636 to a fraction is to re-write 249.78255523636 in the form p/q where p and q are both positive integers. To start with, 249.78255523636 can be written as simply 249.78255523636/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 249.78255523636, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 249.78255523636/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 249.78255523636/1 each by 100000000000:

24978255523636/10 / 100000000000/10 = 24978255523636 / 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 249.78255523636 as a fraction:

5745/23 / 1

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