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.
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)
11 answers
thats wrong
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.
4124
feet
4 and 1 over 24 feet
3524
feet
3 and 5 over 24 feet
4924
feet
4 and 9 over 24 feet
4524
feet
feet
4 and 1 over 24 feet
3524
feet
3 and 5 over 24 feet
4924
feet
4 and 9 over 24 feet
4524
feet
The length of the shortened ribbon is 4 and 9/24 feet, which can be simplified to 4 and 3/8 feet.
Simplify the expression.
0.625+34
0.625+34
0.625 + 34 = 34.625
Simplify the expression.
0.625+3/4
0.625+3/4
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.
Divide.
−4/17÷−3/4
−4/17÷−3/4
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.