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(20/3) / (5/6)
(20/3) * (6/5) = 120/15 = 8
(20/3) * (6/5) = 120/15 = 8
The length of the board is given as 6 2/3 feet, which can be converted to a mixed number as 20/3 feet.
Now, we need to divide 20/3 feet by 5/6 feet, so we multiply 20/3 by the reciprocal of 5/6, which is 6/5.
Multiplying fractions involves multiplying the numerators and denominators.
(20/3) x (6/5) = (20 x 6) / (3 x 5) = 120/15
To simplify the fraction, we divide the numerator and denominator by their greatest common divisor, which is 15.
120/15 = 8
Therefore, Hank can cut 8 pieces that are 5/6 foot long from the board.