Andre is cutting fence boards from a large piece of wood 10 1/4 yards long. Each board needs to be 4/5 yard. How many boards can he cut from this piece of wood?(1 point)
To find out how many boards André can cut from the piece of wood, we need to divide the total length of the wood by the length of each board.
Total length of wood = 10 1/4 yards = 41/4 yards (converting the mixed number to an improper fraction by multiplying the whole number by the denominator and adding the numerator)
Length of each board = 4/5 yards
Number of boards = (Total length of wood)/(Length of each board)
= (41/4)/(4/5)
= (41/4)*(5/4) (dividing by a fraction is the same as multiplying by its reciprocal)
= (41*5)/(4*4)
= 205/16
So, André can cut 205/16 boards from the piece of wood.