Calculating Fragment Numbers: Biotechnology and Plasmids Explained

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A piece of linear DNA is 150 000 base pairs in length and it is digested with a restriction enzyme that recognizes a seven-base-pair recognition site. How many fragments do you predict would be produced? Show your calculations.

I would say, 150000bp / 7 = 21428.57 fragments (Weird...)

What am I doing wrong?

Thanks
 

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A restriction enzyme cuts the DNA at the recognition site. Not every seven base pairs.
 
Hmm, but we don't know how many restriction enzymes are on that linear piece of DNA.
 
maybe:

4 nitrogenous pairs each base pair so 4^7 = 16384 (base pairs) then 150000 divide by 16384 which gives us 9.15 so approximately 9 fragments.