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)
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)
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.
To find the length of the shortened ribbon, we need to subtract 2 1/12 feet from the original length of 6/18 feet.
To do this, we first need to convert both the lengths to have a common denominator.
The original length of the ribbon, 6/18 feet, can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 6. So, we have:
6/18 = 1/3 feet
The length that was cut off, 2 1/12 feet, can be converted to a fraction with a common denominator of 12, by multiplying the whole number (2) by the denominator (12) and then adding the numerator (1). So, we have:
2 1/12 = (2*12 + 1)/12 = 25/12 feet
Now, we can subtract the cut off length from the original length:
1/3 feet - 25/12 feet
To subtract these fractions, we need a common denominator of 12:
1/3 = 4/12
Now, we can subtract:
4/12 feet - 25/12 feet = (4-25)/12 = -21/12
The shortened ribbon has a length of -21/12 feet, which is equivalent to -1 3/12 feet or -1 1/4 feet.
So, the length of the shortened ribbon is -1 1/4 feet.
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.
The original length of the ribbon is given as 6/18 feet.
The length that was cut off is given as 2 1/12 feet, which can also be written as (24/12) + (1/12) = 25/12 feet.
Now, to find the length of the shortened ribbon, we subtract the length that was cut off from the original length:
Original length - Length cut off = Length of shortened ribbon
6/18 feet - 25/12 feet
First, we need to find a common denominator for 18 and 12 which is 36.
To convert the fractions to have a common denominator of 36, we multiply the numerator and denominator of 6/18 by 2, and the numerator and denominator of 25/12 by 3.
(6/18) * (2/2) feet - (25/12) * (3/3) feet
12/36 feet - 75/36 feet
Now, we subtract the fractions:
(12 - 75)/36 feet = -63/36 feet
The resulting fraction, -63/36 feet, represents a negative length, which doesn't make sense in this context. It seems there was an error in the question or calculations.
Please check the question and the values provided, and if there is any mistake, correct it accordingly.