Hank has a board that is 6 2/3 feet long. He cuts the board into equal pieces that are each 5/6 foot long. How many 5/6 foot pieces can Hank cut from the board?

(20/3) / (5/6)

(20/3) * (6/5) = 120/15 = 8

2/4

The transportation department is resurfacing 12.75 miles of roadways in Navarro county. The crew completes work on a 1/8 -mile section of roadway each hour. How many hours will it take to complete the resurfacing project?

i dont know i need help with my home work :D

i need help with my homework

To find out how many 5/6 foot pieces can be cut from the board, we need to divide the length of the board by the length of each piece.

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.