Jung bought 15 years of clothes. he used 2 1/3 yards of cloth to make a jacket. He cut the remaining cloth into equal pieces.find the length of each of the remaining pieces?
my answer :
15
used 2 1/3
cut 12 3/4 to 2 equal pieces
length: 12 3/4 x 2
=24
It would help if you proofread your questions before you posted them. Note "years." Problem doesn't indicate how many pieces. I had to assume 2 from your attempt to answer.
15 - 2 1/3 ≠ 12 3/4
If you cut into 2 equal pieces, each will be half of the original length.
To find the length of each of the remaining pieces, we first need to calculate how much cloth Jung had left after making the jacket.
Jung bought 15 years of clothes.
Used 2 1/3 yards to make a jacket.
To find the amount of cloth remaining, we need to subtract the amount used for the jacket from the total amount purchased:
15 - 2 1/3 = 15 - (7/3) = (45/3) - (7/3) = 38/3
So, Jung has 38/3 yards of cloth remaining.
Next, we need to cut the remaining cloth into equal pieces. Since the problem doesn't specify how many pieces to cut, let's assume 2 equal pieces.
To find the length of each piece, we divide the total remaining cloth by the number of pieces:
Length of each piece = (38/3) / 2
To simplify the fraction, we multiply the numerator and denominator by 3:
Length of each piece = (38/3) / 2 = (38/3) * (1/2) = (38/6) = 19/3
Therefore, each of the remaining pieces of cloth will have a length of 19/3 yards.
To find the length of each of the remaining pieces of cloth, we need to determine the total amount of cloth that Jung had after making the jacket.
Jung bought 15 yards of clothes. He used 2 1/3 yards of cloth to make a jacket. To find the remaining amount, we need to subtract the amount used from the total amount:
Remaining cloth = Total cloth - Used cloth
Total cloth = 15 yards
Used cloth = 2 1/3 yards
To subtract the fractions, we need to find a common denominator. In this case, 3 is the denominator for both the whole number and the fraction, so we can leave it as is.
Used cloth = 2 1/3 = 7/3 yards
Remaining cloth = 15 - 7/3
To subtract fractions, we need a common denominator:
Remaining cloth = 15 * 3/3 - 7/3
Remaining cloth = 45/3 - 7/3
Remaining cloth = (45 - 7)/3
Remaining cloth = 38/3 yards
Since we need to cut the remaining cloth into equal pieces, we can divide the total length by the number of pieces.
Number of pieces = 2 (as stated in the question)
Length of each piece = Remaining cloth / Number of pieces
Length of each piece = 38/3 / 2
To divide a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number.
Length of each piece = 38/3 * 1/2
Length of each piece = 38/6
Length of each piece = 19/3 yards
So, the length of each of the remaining pieces is 19/3 yards.