To find the amount of boards, x, that can be cut from a board measuring 26 feet, set the product of the amount of boards, x, and the measure of each board (4 1/3) equal to 26 and solve algebraically for x.
First convert the mixed number into an improper fraction.
4 1/3 = 13/3
Solve:
13/3x = 26
Multiply both sides by 3:
13x = 78
Divide both sides by 13:
x = 6
Answer:
Six 4 1/3 foot boards can be cut from a board measuring 26 feet long.