Question
A ribbon 6 1/8 feet in length is shortened by having 2 1/12 feet cut off one end. What is the length of the shortened ribbon?(1 point) Responses 3 5/24 feet
4 5/24 feet
4 9/24 feet
41/24 feet
4 5/24 feet
4 9/24 feet
41/24 feet
Answers
GPT 3.5
To find the length of the shortened ribbon, we need to subtract the length that was cut off from the original length of the ribbon.
Original length of the ribbon: 6 1/8 feet
Length cut off one end: 2 1/12 feet
To subtract the length cut off, we need to change both fractions to have the same denominator:
6 1/8 feet = (6*8 + 1)/8 = 49/8
2 1/12 feet = (2*12 + 1)/12 = 25/12
Now subtract the lengths:
49/8 - 25/12 = (49*3 - 25*2)/(8*3) = 147/24 - 50/24 = 97/24
So the length of the shortened ribbon is 97/24 feet, which can also be written as 4 9/24 feet or simplified to 4 5/24 feet.
Therefore, the correct answer is 4 9/24 feet or 4 5/24 feet.
Original length of the ribbon: 6 1/8 feet
Length cut off one end: 2 1/12 feet
To subtract the length cut off, we need to change both fractions to have the same denominator:
6 1/8 feet = (6*8 + 1)/8 = 49/8
2 1/12 feet = (2*12 + 1)/12 = 25/12
Now subtract the lengths:
49/8 - 25/12 = (49*3 - 25*2)/(8*3) = 147/24 - 50/24 = 97/24
So the length of the shortened ribbon is 97/24 feet, which can also be written as 4 9/24 feet or simplified to 4 5/24 feet.
Therefore, the correct answer is 4 9/24 feet or 4 5/24 feet.