How to convert 255.74284746596 as a fraction

Question: What is 255.74284746596 as a fraction?


Answer: 255.74284746596 as a fraction is 8951/35


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How to convert 255.74284746596 as a fraction?

Solution:255.74284746596 as a fraction is 8951/35

Step 1:

The first step to converting 255.74284746596 to a fraction is to re-write 255.74284746596 in the form p/q where p and q are both positive integers. To start with, 255.74284746596 can be written as simply 255.74284746596/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 255.74284746596, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 255.74284746596/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 255.74284746596/1 each by 100000000000:

25574284746596/10 / 100000000000/10 = 25574284746596 / 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 255.74284746596 as a fraction:

8951/35 / 1

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