How to convert 967.78105885896 as a fraction

Question: What is 967.78105885896 as a fraction?


Answer: 967.78105885896 as a fraction is 30969/32


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How to convert 967.78105885896 as a fraction?

Solution:967.78105885896 as a fraction is 30969/32

Step 1:

The first step to converting 967.78105885896 to a fraction is to re-write 967.78105885896 in the form p/q where p and q are both positive integers. To start with, 967.78105885896 can be written as simply 967.78105885896/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 967.78105885896, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 967.78105885896/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 967.78105885896/1 each by 100000000000:

96778105885896/10 / 100000000000/10 = 96778105885896 / 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 967.78105885896 as a fraction:

30969/32 / 1

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