How to convert 12.086718749898 as a fraction

Question: What is 12.086718749898 as a fraction?


Answer: 12.086718749898 as a fraction is 4460/369


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How to convert 12.086718749898 as a fraction?

Solution:12.086718749898 as a fraction is 4460/369

Step 1:

The first step to converting 12.086718749898 to a fraction is to re-write 12.086718749898 in the form p/q where p and q are both positive integers. To start with, 12.086718749898 can be written as simply 12.086718749898/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 12.086718749898, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 12.086718749898/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 12.086718749898/1 each by 1000000000000:

12086718749898/10 / 1000000000000/10 = 12086718749898 / 1000000000000

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 12.086718749898 as a fraction:

4460/369 / 1

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