Please anyone to help me solve this question
A piece of copper wire is 52 2/3 m long. If each piece has been cut of 3/4 m from it. What length will remain after cutting pieces?
158/3 * 4/3 = 632/9 = what mixed number?
To solve this question, we need to find out how many pieces of 3/4 m can be cut from a 52 2/3 m copper wire, and then subtract that total length from the original length to find the remaining length.
Step 1: Convert the mixed fraction to an improper fraction.
52 2/3 m = (3 * 52 + 2)/3 m = 158/3 m
Step 2: Determine how many pieces of 3/4 m can be cut from the wire.
To find the number of pieces, we need to divide the total length by the length of each piece.
(158/3) ÷ (3/4) = (158/3) * (4/3) = 632/9 pieces
Step 3: Find the total length cut from the wire.
To find the total length of the pieces cut, we multiply the number of pieces by the length of each piece.
Total length cut = (632/9) * (3/4) = 4749/12 = 395 1/4 m
Step 4: Calculate the remaining length by subtracting the total length cut from the original length.
Remaining length = (158/3) - (395 1/4) = (158/3) - (158/4) = (632/12) - (4749/12) = -4117/12 = -342 5/12 m
Since it is not possible to have a negative length, we can conclude that no length will remain after cutting the pieces.