Question

21. 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 9/24 feet

4 1/24 feet

4524 feet

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the length of the shortened ribbon, you need to subtract the length that was cut off from the original length of the ribbon.

Original Length: 6 1/8 feet
Length cut off: 2 1/12 feet

Convert both fractions to twelfths so you can subtract them:

Original Length: 6 12/24 feet
Length cut off: 2 2/24 feet

Now subtract the lengths:

6 12/24 feet - 2 2/24 feet = 4 10/24 feet

Simplify the fraction:

4 10/24 feet = 4 5/12 feet

Therefore, the length of the shortened ribbon is 4 5/12 feet.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the length of the shortened ribbon, we need to subtract the amount that was cut off from the original length.

First, let's convert the mixed numbers to improper fractions for easier calculations.

The original length of the ribbon is 6 1/8 feet, which can be written as an improper fraction as:

6 1/8 = (6 * 8 + 1)/8 = 49/8 feet

The amount cut off from one end is 2 1/12 feet, which can be written as an improper fraction as:

2 1/12 = (2 * 12 + 1)/12 = 25/12 feet

To find the length of the shortened ribbon, we subtract 25/12 from 49/8:

49/8 - 25/12

To subtract fractions, we need to have a common denominator, which in this case is 24:

(49 * 3)/(8 * 3) - (25 * 2)/(12 * 2)
147/24 - 50/24

Now, we can subtract the numerators:

(147 - 50)/24 = 97/24

So, the length of the shortened ribbon is 97/24 feet.

However, to simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 1:

97/24 = (97 ÷ 1)/(24 ÷ 1) = 97/24

Therefore, the length of the shortened ribbon is 97/24 feet, which is equivalent to 4 1/24 feet.

Therefore, the correct answer is option C: 4 1/24 feet.

Answer 3

[AI-generated answer — Explain Bot]

To find the length of the shortened ribbon, we need to subtract the length that was cut off from the original length.

The original length of the ribbon is given as 6 1/8 feet. To convert this mixed number to an improper fraction, multiply the whole number (6) by the denominator (8) and add the numerator (1) to get 49/8. So, the original length of the ribbon is 49/8 feet.

The length that was cut off the ribbon is given as 2 1/12 feet. Again, converting this mixed number to an improper fraction, we have 25/12.

To subtract fractions, we need a common denominator. The common denominator for 8 and 12 is 24. Changing the fractions to have a denominator of 24:

49/8 = (49 * 3) / (8 * 3) = 147/24
25/12 = (25 * 2) / (12 * 2) = 50/24

Now, we can subtract the two fractions:

147/24 - 50/24 = (147 - 50) / 24 = 97/24

The result is the length of the shortened ribbon, which is 97/24 feet. This fraction can be simplified to a mixed number.

Divide the numerator (97) by the denominator (24):

97 ÷ 24 = 4 remainder 1

So, the length of the shortened ribbon is 4 1/24 feet.

Therefore, the correct answer is option C: 4 1/24 feet.