How to convert 1255.9921875 as a fraction

Question: What is 1255.9921875 as a fraction?


Answer: 1255.9921875 as a fraction is 160767/128


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How to convert 1255.9921875 as a fraction?

Solution:1255.9921875 as a fraction is 160767/128

Step 1:

The first step to converting 1255.9921875 to a fraction is to re-write 1255.9921875 in the form p/q where p and q are both positive integers. To start with, 1255.9921875 can be written as simply 1255.9921875/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1255.9921875, which in this case is 7. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1255.9921875/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1255.9921875/1 each by 10000000:

12559921875/10 / 10000000/10 = 12559921875 / 10000000

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 1255.9921875 as a fraction:

160767/128 / 1

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