How to convert 14782.565 as a fraction

Question: What is 14782.565 as a fraction?


Answer: 14782.565 as a fraction is 103478/7


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How to convert 14782.565 as a fraction?

Solution:14782.565 as a fraction is 103478/7

Step 1:

The first step to converting 14782.565 to a fraction is to re-write 14782.565 in the form p/q where p and q are both positive integers. To start with, 14782.565 can be written as simply 14782.565/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 14782.565, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 14782.565/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 14782.565/1 each by 1000:

14782565/10 / 1000/10 = 14782565 / 1000

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 14782.565 as a fraction:

103478/7 / 1

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