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9/16 equals to 0.5625 so it terminates.

Step-by-step explanation:

16 doesn't go into 9 so 0. Add a zero so 16 goes into 90 5 times and it equals to 80 so subtract 80 from 90 which equals 10.  Add another zero since 16 cant go into ten and 16 goes into 100 6 times and it equals to 96 so 100-96 equals 4. Sixteen cant go into 4 so add a zero which makes it 40. 16 goes into 40 2 times and it equals to 32 so 40-32=8. Add a zero to the eight and 16 goes into 80 5 times and etc etc.