21. A ribbon 61/8 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
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 61/8 feet.
The length that was cut off is 2 1/12 feet.
To subtract the length that was cut off from the original length, we can convert the mixed number 2 1/12 to an improper fraction.
2 1/12 = 24/12 + 1/12 = 25/12
Now, we can subtract the length that was cut off from the original length.
61/8 - 25/12
To subtract fractions, we need a common denominator. The least common multiple of 8 and 12 is 24.
Multiplying the numerator and denominator of 61/8 by 3 to get a denominator of 24:
(61*3)/(8*3) = 183/24
Multiplying the numerator and denominator of 25/12 by 2 to get a denominator of 24:
(25*2)/(12*2) = 50/24
Now, we can subtract the fractions:
183/24 - 50/24 = (183-50)/24 = 133/24
The length of the shortened ribbon is 133/24 feet.
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 61/8 feet.
The length that was cut off is 2 1/12 feet.
To subtract these two lengths, we first need to convert them to the same format.
To convert 61/8 feet to a mixed number, we can divide the numerator (61) by the denominator (8) and express the quotient as a whole number and a proper fraction.
61 ÷ 8 = 7 with a remainder of 5
So, 61/8 can be expressed as the mixed number 7 5/8.
Now, let's convert 2 1/12 feet to an improper fraction. We do this by multiplying the whole number (2) by the denominator (12) and then adding the numerator (1). The result is the new numerator, which is then combined with the denominator.
2 × 12 = 24
24 + 1 = 25
So, 2 1/12 feet can be expressed as the improper fraction 25/12.
Now, we can subtract the length that was cut off from the original length:
7 5/8 - 25/12
To subtract these fractions, we need to find a common denominator. In this case, the least common multiple of 8 and 12 is 24.
So, we can rewrite 7 5/8 as 7 15/24 and 25/12 as 50/24.
Now, we can subtract these fractions:
7 15/24 - 50/24
To subtract the whole numbers, we subtract 7 from 7, which gives us 0.
Now, we subtract the fractions:
15/24 - 50/24 = -35/24
Therefore, the length of the shortened ribbon is -35/24 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.
Given:
Original length of the ribbon = 61/8 feet
Length cut off = 2 1/12 feet
First, we need to convert the mixed fraction 2 1/12 to an improper fraction. To do this, we multiply the whole number (2) by the denominator (12) and add the numerator (1). Then, we write the sum as the numerator over the denominator.
2 x 12 + 1 = 24 + 1 = 25
So, 2 1/12 is equal to 25/12.
Now, we can subtract the length cut off from the original length of the ribbon.
61/8 - 25/12
To subtract fractions, we need a common denominator. In this case, the common denominator is 24 (the smallest number that both 8 and 12 divide evenly into).
Now, let's convert both fractions to have a denominator of 24:
61/8 = (61 x 3)/(8 x 3) = 183/24
25/12 = (25 x 2)/(12 x 2) = 50/24
Now we can subtract the fractions:
183/24 - 50/24 = (183 - 50)/24 = 133/24
Thus, the length of the shortened ribbon is 133/24 feet.