How to convert 10589.714 as a fraction

Question: What is 10589.714 as a fraction?


Answer: 10589.714 as a fraction is 74128/7


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How to convert 10589.714 as a fraction?

Solution:10589.714 as a fraction is 74128/7

Step 1:

The first step to converting 10589.714 to a fraction is to re-write 10589.714 in the form p/q where p and q are both positive integers. To start with, 10589.714 can be written as simply 10589.714/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 10589.714, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 10589.714/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 10589.714/1 each by 1000:

10589714/10 / 1000/10 = 10589714 / 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 10589.714 as a fraction:

74128/7 / 1

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