How to convert 989.2165869141 as a fraction

Question: What is 989.2165869141 as a fraction?


Answer: 989.2165869141 as a fraction is 22752/23


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How to convert 989.2165869141 as a fraction?

Solution:989.2165869141 as a fraction is 22752/23

Step 1:

The first step to converting 989.2165869141 to a fraction is to re-write 989.2165869141 in the form p/q where p and q are both positive integers. To start with, 989.2165869141 can be written as simply 989.2165869141/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 989.2165869141, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 989.2165869141/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 989.2165869141/1 each by 10000000000:

9892165869141/10 / 10000000000/10 = 9892165869141 / 10000000000

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 989.2165869141 as a fraction:

22752/23 / 1

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