Answer: 3/9 of an inch long remaining on the piece of string.
Step-by-step explanation: For this problem we will subtract 8/9 from 5/9, since Tanesha cuts five-ninths of an inch off the string, when the string is eight-ninths of an inch long.
8/9 - 5/9 = 3/9 of an inch long remaining on the piece of string.
You basically are subtracting the numerators, top of the fraction, and keeping the denominator, bottom of the fraction, the same.