ung 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
no, you multiplied instead of dividing
15 - 2 1/3 = 12 2/3, (you had 12 3/4)
"He cut the remaining cloth into equal pieces"
-- assuming you meant 2 equal pieces , it should have said that. There could have been 3 equal pieces, or 45 equal pieces , or ....
12 2/3 ÷ 2 = 6 1/3
To find the length of each of the remaining pieces, we need to subtract the length of the cloth used for the jacket from the total length of cloth bought and then divide that result by the number of remaining pieces.
Ung bought 15 yards of cloth and used 2 1/3 yards to make a jacket. To find the remaining cloth, we subtract 2 1/3 from 15:
15 - 2 1/3
To subtract the fractions, we need to convert both the whole number and the fraction to improper fractions:
15 = 15/1
2 1/3 = (2 * 3 + 1) / 3 = 7/3
Now we can subtract:
15/1 - 7/3 = (15 * 3 - 7) / 3 = 38/3
So, Ung has 38/3 yards of cloth remaining.
Next, we need to find the length of each of the remaining pieces by dividing the total remaining length by the number of pieces. You mentioned that Ung cut the remaining cloth into 2 equal pieces. Therefore, we divide 38/3 by 2:
(38/3) ÷ 2 = (38/3) * (1/2) = 19/3
So, each of the remaining pieces is 19/3 yards long.
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 1:
19 ÷ 1 / 3 ÷ 1 = 19/3
Therefore, each of the remaining pieces is 19/3 yards long or approximately 6.33 yards.