Question
A tree is 25 7/12, feet high. Richard cuts off the
top 8 7/8 feet. How tall is the tree now?
top 8 7/8 feet. How tall is the tree now?
Answers
Answered by
GPT 3.5
To find the height of the tree after Richard cuts off the top part, we subtract the height of the cut-off part from the original height of the tree.
Original height of the tree: 25 7/12 feet
Height of the cut-off part: 8 7/8 feet
Converting the heights to improper fractions:
Original height of the tree: 307/12 feet
Height of the cut-off part: 71/8 feet
Subtracting the height of the cut-off part from the original height of the tree:
307/12 - 71/8
To subtract fractions, we need a common denominator. The least common multiple of 12 and 8 is 24.
Converting the fractions to have a denominator of 24:
307/12 = 307/12 * 2/2 = 614/24
71/8 = 71/8 * 3/3 = 213/24
Subtracting the fractions:
614/24 - 213/24 = 401/24 feet
The tree is now 401/24 feet tall.
We can also convert this back to a mixed number:
401/24 = 16 17/24 feet
Therefore, the tree is now 16 17/24 feet tall after Richard cuts off the top part.
Original height of the tree: 25 7/12 feet
Height of the cut-off part: 8 7/8 feet
Converting the heights to improper fractions:
Original height of the tree: 307/12 feet
Height of the cut-off part: 71/8 feet
Subtracting the height of the cut-off part from the original height of the tree:
307/12 - 71/8
To subtract fractions, we need a common denominator. The least common multiple of 12 and 8 is 24.
Converting the fractions to have a denominator of 24:
307/12 = 307/12 * 2/2 = 614/24
71/8 = 71/8 * 3/3 = 213/24
Subtracting the fractions:
614/24 - 213/24 = 401/24 feet
The tree is now 401/24 feet tall.
We can also convert this back to a mixed number:
401/24 = 16 17/24 feet
Therefore, the tree is now 16 17/24 feet tall after Richard cuts off the top part.