Henrey had a piece of a rope that was 22 1/2 inches long. Henry cut the rope into two pieces so that one piece was 8 1/4 inches long. What was the length of the other piece of rope
22 1/2 = 22 2/4
22 2/4 - 8 1/4 = ?
What is the value of the expression below when _= 6? 2+_/3
2 + 12/3 = 6
To find the length of the other piece of rope, we need to subtract the length of the known piece from the total length.
First, let's convert all the measurements into fractions. The total length of the rope is 22 1/2 inches, which can be written as 45/2 inches. Similarly, the known piece of the rope is 8 1/4 inches, which can be written as 33/4 inches.
To find the length of the other piece, we subtract 33/4 from 45/2.
The common denominator of 4 and 2 is 4. So, we need to express both fractions with a denominator of 4.
The fraction 33/4 can be rewritten as (33/4) * (2/2) = 66/8 inches.
Now we can subtract:
(45/2) - (66/8) = (45/2) - (66/8) = (45/2) - (33/4)
To subtract fractions, we need a common denominator. The common denominator of 2 and 4 is 4.
(45/2) - (33/4) = (45/2) * (4/4) - (33/4) = (180/8) - (33/4)
Now that we have a common denominator, we can subtract the numerators:
(180/8) - (33/4) = (180 - 33) / 8 = 147/8 inches
Therefore, the length of the other piece of rope is 147/8 inches, or 18 3/8 inches when expressed as a mixed number.