How to convert 966.78842000916 as a fraction

Question: What is 966.78842000916 as a fraction?


Answer: 966.78842000916 as a fraction is 31904/33


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How to convert 966.78842000916 as a fraction?

Solution:966.78842000916 as a fraction is 31904/33

Step 1:

The first step to converting 966.78842000916 to a fraction is to re-write 966.78842000916 in the form p/q where p and q are both positive integers. To start with, 966.78842000916 can be written as simply 966.78842000916/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 966.78842000916, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 966.78842000916/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 966.78842000916/1 each by 100000000000:

96678842000916/10 / 100000000000/10 = 96678842000916 / 100000000000

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 966.78842000916 as a fraction:

31904/33 / 1

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