To find the length of the shortened ribbon, we need to subtract the amount that was cut off from the original length of the ribbon.
The original length of the ribbon is 6/18 feet.
The amount cut off is 2 1/12 feet.
To subtract fractions, we need a common denominator. In this case, the least common denominator (LCD) is 12.
So, we rewrite the original length of the ribbon as 6/18 * 12/12 = 72/216 feet.
The amount cut off is already in terms of 12, since it is 2 1/12 feet.
To subtract 2 1/12 from 6/18, we subtract the numerators: 72/216 - 25/12.
To simplify the fraction, we need to find a common denominator again. The LCD is 216.
So, we rewrite 25/12 as 25/12 * 18/18 = 450/216.
Now, we can subtract the fractions: 72/216 - 450/216.
Subtracting the numerators gives us: 72 - 450 = -378.
The length of the shortened ribbon is -378/216 feet.
This can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 18.
So, -378/216 = -21/12 = -7/4 feet.
Therefore, the length of the shortened ribbon is -7/4 feet.
A ribbon 6/18 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)
3 answers
A ribbon 6/18 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)
A. 4 5/24
B. 4 9/24
C. 3 5/24
D. 4 1/24
A. 4 5/24
B. 4 9/24
C. 3 5/24
D. 4 1/24
To find the length of the shortened ribbon, we subtract the amount cut off from the original length of the ribbon.
The original length of the ribbon is 6/18 feet, which can be simplified to 1/3 feet.
The amount cut off is 2 1/12 feet, which can be simplified to 25/12 feet.
To subtract fractions, we need a common denominator. The LCD is 12.
So, we rewrite the original length of the ribbon as 1/3 * 12/12 = 12/36 feet.
Now we can subtract the fractions: 12/36 - 25/12.
To subtract fractions, we need a common denominator. The LCD is 36.
So, we rewrite 25/12 as 25/12 * 3/3 = 75/36.
Now, we can subtract the fractions: 12/36 - 75/36.
Subtracting the numerators gives us: 12 - 75 = -63.
The length of the shortened ribbon is -63/36 feet.
This can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 9.
So, -63/36 = -7/4.
The length of the shortened ribbon is -7/4 feet.
The answer is not among the options provided.
The original length of the ribbon is 6/18 feet, which can be simplified to 1/3 feet.
The amount cut off is 2 1/12 feet, which can be simplified to 25/12 feet.
To subtract fractions, we need a common denominator. The LCD is 12.
So, we rewrite the original length of the ribbon as 1/3 * 12/12 = 12/36 feet.
Now we can subtract the fractions: 12/36 - 25/12.
To subtract fractions, we need a common denominator. The LCD is 36.
So, we rewrite 25/12 as 25/12 * 3/3 = 75/36.
Now, we can subtract the fractions: 12/36 - 75/36.
Subtracting the numerators gives us: 12 - 75 = -63.
The length of the shortened ribbon is -63/36 feet.
This can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 9.
So, -63/36 = -7/4.
The length of the shortened ribbon is -7/4 feet.
The answer is not among the options provided.