How many 4 1/3 foot boards can be cut from a board measuring 26 feet long?

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.