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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...Asked by No One
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)
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)
Answers
Answered by
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.
Original length: 6 1/8 feet (or 49/8 feet)
Length cut off: 2 1/12 feet (or 25/12 feet)
To subtract fractions, we must have a common denominator. In this case, the common denominator is 12.
49/8 - 25/12
To convert 49/8 to a fraction with a denominator of 12, we multiply the numerator and denominator by 3:
(49/8) * (3/3) = 147/24
Now we can subtract the fractions:
147/24 - 25/12
Since the denominators are the same, we can subtract the numerators directly:
147/24 - 25/12 = (147 - 25)/24 = 122/24
We can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:
(122/2) / (24/2) = 61/12
Therefore, the length of the shortened ribbon is 61/12 feet.
Original length: 6 1/8 feet (or 49/8 feet)
Length cut off: 2 1/12 feet (or 25/12 feet)
To subtract fractions, we must have a common denominator. In this case, the common denominator is 12.
49/8 - 25/12
To convert 49/8 to a fraction with a denominator of 12, we multiply the numerator and denominator by 3:
(49/8) * (3/3) = 147/24
Now we can subtract the fractions:
147/24 - 25/12
Since the denominators are the same, we can subtract the numerators directly:
147/24 - 25/12 = (147 - 25)/24 = 122/24
We can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:
(122/2) / (24/2) = 61/12
Therefore, the length of the shortened ribbon is 61/12 feet.
Answered by
GPT 3.5
I apologize for the mistake. Let's try solving the problem again.
Original length of the ribbon: 6 1/8 feet
To subtract the length that was cut off, we need to subtract 2 1/12 feet from the original length.
2 1/12 feet can be written as an improper fraction: (2 * 12 + 1)/12 = 25/12 feet
Now we can subtract the fractions:
6 1/8 - 25/12
To subtract fractions, we need a common denominator. In this case, the common denominator is 8 * 12 = 96.
Converting 6 1/8 to a fraction with a denominator of 96:
(6 * 8 + 1)/8 = 49/8
Now we can subtract the fractions:
49/8 - 25/12
To have a common denominator of 96:
(49/8)(12/12) - (25/12)(8/8) = 588/96 - 200/96 = 388/96
Now, let's simplify the fraction:
388/96 divided by 4 (dividing both the numerator and denominator by 4):
97/24
Therefore, the length of the shortened ribbon is 97/24 feet.
Original length of the ribbon: 6 1/8 feet
To subtract the length that was cut off, we need to subtract 2 1/12 feet from the original length.
2 1/12 feet can be written as an improper fraction: (2 * 12 + 1)/12 = 25/12 feet
Now we can subtract the fractions:
6 1/8 - 25/12
To subtract fractions, we need a common denominator. In this case, the common denominator is 8 * 12 = 96.
Converting 6 1/8 to a fraction with a denominator of 96:
(6 * 8 + 1)/8 = 49/8
Now we can subtract the fractions:
49/8 - 25/12
To have a common denominator of 96:
(49/8)(12/12) - (25/12)(8/8) = 588/96 - 200/96 = 388/96
Now, let's simplify the fraction:
388/96 divided by 4 (dividing both the numerator and denominator by 4):
97/24
Therefore, the length of the shortened ribbon is 97/24 feet.
Answered by
GPT 3.5
The length of the shortened ribbon is 4 and 9/24 feet, which can be simplified to 4 and 3/8 feet.
Answered by
GPT 3.5
0.625 + 34 = 34.625
Answered by
GPT 3.5
To simplify the expression 0.625 + 3/4, we need to find a common denominator for the two numbers.
The decimal 0.625 is equivalent to the fraction 625/1000.
Now, let's find a common denominator between 1000 and 4, which is 1000.
0.625 + 3/4 = 625/1000 + 750/1000
Now that we have the same denominator, we can add the fractions:
625/1000 + 750/1000 = 1375/1000
Next, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 125:
(1375/125) / (1000/125) = 11/8
Therefore, the simplified expression 0.625 + 3/4 is equal to 11/8.
The decimal 0.625 is equivalent to the fraction 625/1000.
Now, let's find a common denominator between 1000 and 4, which is 1000.
0.625 + 3/4 = 625/1000 + 750/1000
Now that we have the same denominator, we can add the fractions:
625/1000 + 750/1000 = 1375/1000
Next, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 125:
(1375/125) / (1000/125) = 11/8
Therefore, the simplified expression 0.625 + 3/4 is equal to 11/8.
Answered by
GPT 3.5
To divide these fractions, we can rewrite the problem as a multiplication problem by taking the reciprocal of the second fraction.
Reciprocal of -3/4 = -4/3
Now, let's multiply the fractions:
(-4/17) * (-4/3)
Multiplying the numerators gives us:
(-4) * (-4) = 16
Multiplying the denominators gives us:
17 * 3 = 51
Therefore, -4/17 divided by -3/4 is equal to 16/51.
Reciprocal of -3/4 = -4/3
Now, let's multiply the fractions:
(-4/17) * (-4/3)
Multiplying the numerators gives us:
(-4) * (-4) = 16
Multiplying the denominators gives us:
17 * 3 = 51
Therefore, -4/17 divided by -3/4 is equal to 16/51.