How to convert 257.43968749636 as a fraction

Question: What is 257.43968749636 as a fraction?


Answer: 257.43968749636 as a fraction is 29863/116


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How to convert 257.43968749636 as a fraction?

Solution:257.43968749636 as a fraction is 29863/116

Step 1:

The first step to converting 257.43968749636 to a fraction is to re-write 257.43968749636 in the form p/q where p and q are both positive integers. To start with, 257.43968749636 can be written as simply 257.43968749636/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 257.43968749636, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 257.43968749636/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 257.43968749636/1 each by 100000000000:

25743968749636/10 / 100000000000/10 = 25743968749636 / 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 257.43968749636 as a fraction:

29863/116 / 1

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