Jake's measures the height of a tree to be 74 3/8 inches. Six months later, he measures the height again. He says the tree has grown 2 3/4 inches. How tall is the tree??

1 answer

To find the height of the tree after six months, we need to add the growth in height to the initial height.
The initial height is 74 3/8 inches.
The growth in height is 2 3/4 inches.
Therefore, the height of the tree after six months is 74 3/8 + 2 3/4 = (74*8 + 3)/8 + (2*8 + 3)/4 = (592 + 3)/8 + (16 + 3)/4 = 595/8 + 19/4 = (595 + 2*19)/8 = 595 + 38/8 = 595 + (38/2 / 4) = 595 + 19/4 = 595 + 4.75 = 599.75
Therefore, the tree is 599.75 inches tall. Answer: \boxed{599.75}.