How to convert 14.789724502571 as a fraction

Question: What is 14.789724502571 as a fraction?


Answer: 14.789724502571 as a fraction is 3165/214


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How to convert 14.789724502571 as a fraction?

Solution:14.789724502571 as a fraction is 3165/214

Step 1:

The first step to converting 14.789724502571 to a fraction is to re-write 14.789724502571 in the form p/q where p and q are both positive integers. To start with, 14.789724502571 can be written as simply 14.789724502571/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 14.789724502571, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 14.789724502571/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 14.789724502571/1 each by 1000000000000:

14789724502571/10 / 1000000000000/10 = 14789724502571 / 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 14.789724502571 as a fraction:

3165/214 / 1

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