How to convert 859.12984145 as a fraction

Question: What is 859.12984145 as a fraction?


Answer: 859.12984145 as a fraction is 19760/23


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How to convert 859.12984145 as a fraction?

Solution:859.12984145 as a fraction is 19760/23

Step 1:

The first step to converting 859.12984145 to a fraction is to re-write 859.12984145 in the form p/q where p and q are both positive integers. To start with, 859.12984145 can be written as simply 859.12984145/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 859.12984145, which in this case is 8. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 859.12984145/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 859.12984145/1 each by 100000000:

85912984145/10 / 100000000/10 = 85912984145 / 100000000

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 859.12984145 as a fraction:

19760/23 / 1

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