How to convert 969.7822161339 as a fraction

Question: What is 969.7822161339 as a fraction?


Answer: 969.7822161339 as a fraction is 22305/23


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How to convert 969.7822161339 as a fraction?

Solution:969.7822161339 as a fraction is 22305/23

Step 1:

The first step to converting 969.7822161339 to a fraction is to re-write 969.7822161339 in the form p/q where p and q are both positive integers. To start with, 969.7822161339 can be written as simply 969.7822161339/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 969.7822161339, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 969.7822161339/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 969.7822161339/1 each by 10000000000:

9697822161339/10 / 10000000000/10 = 9697822161339 / 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 969.7822161339 as a fraction:

22305/23 / 1

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