Denny has 7/8 feet of lumber. To make one molding he needs 1/3 feet of lumber. How many moldings can he make?
7/8 feet available
1/3 feet for every 1 molding(s)
(7/8)/(1/3) = 21/8 (or) 2.625
He could make 2.625 moldings. Since it is not possible, It is just 2 moldings. (You cannot make .625 moldings)
(7/8) / (1/3)
(7/8) * (3/1) = 21/8 = 2
To find out how many moldings Denny can make, we need to divide the total length of lumber he has (7/8 feet) by the amount of lumber needed for one molding (1/3 feet).
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 1/3 is 3/1, which is the same as 3. So the calculation becomes:
(7/8 feet) ÷ (1/3 feet) = (7/8 feet) × (3/1) = (7/8) × (3/1)
To multiply fractions, we simply multiply the numerators together and the denominators together:
(7 × 3) / (8 × 1) = 21/8
Therefore, Denny can make 21/8 moldings from the available lumber.