How to convert 255.23405 as a fraction

Question: What is 255.23405 as a fraction?


Answer: 255.23405 as a fraction is 11996/47


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How to convert 255.23405 as a fraction?

Solution:255.23405 as a fraction is 11996/47

Step 1:

The first step to converting 255.23405 to a fraction is to re-write 255.23405 in the form p/q where p and q are both positive integers. To start with, 255.23405 can be written as simply 255.23405/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 255.23405, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 255.23405/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 255.23405/1 each by 100000:

25523405/10 / 100000/10 = 25523405 / 100000

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 255.23405 as a fraction:

11996/47 / 1

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