How to convert 1256.7282978185 as a fraction

Question: What is 1256.7282978185 as a fraction?


Answer: 1256.7282978185 as a fraction is 13824/11


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How to convert 1256.7282978185 as a fraction?

Solution:1256.7282978185 as a fraction is 13824/11

Step 1:

The first step to converting 1256.7282978185 to a fraction is to re-write 1256.7282978185 in the form p/q where p and q are both positive integers. To start with, 1256.7282978185 can be written as simply 1256.7282978185/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1256.7282978185, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1256.7282978185/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1256.7282978185/1 each by 10000000000:

12567282978185/10 / 10000000000/10 = 12567282978185 / 10000000000

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 1256.7282978185 as a fraction:

13824/11 / 1

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