a ribbon is three and two third yard long may need to cut the ribbon into pieces that are two third yard long how many pieces can she cut
(3 2/3)/2/3 = (11/3)/2/3 = 11/3 * 3/2 =
33/6 = 5 3/6 = 5 1/2 or 5 pieces.
To determine how many pieces can be cut from a ribbon that is three and two-third yards long, you need to divide the length of the ribbon by the desired length of each piece.
The length of the ribbon is 3 and two-third yards, which can be written as a mixed number: 3 + 2/3.
To divide a mixed number by a fraction, you need to convert the mixed number to an improper fraction. Multiply the whole number by the denominator of the fraction, and then add the numerator. Place the result over the denominator to get the improper fraction.
In this case, multiply 3 by 3 (the denominator of 2/3) and add 2. The result is 11/3, which is the improper fraction equivalent of the mixed number 3 and two-third.
Next, divide the improper fraction (11/3) by the desired length of each piece (2/3).
To divide fractions, you invert the divisor and multiply the fractions. In this case, you need to divide 11/3 by 2/3.
11/3 รท 2/3 = 11/3 * 3/2
Dividing fractions by multiplying the numerators and denominators, you get:
(11 * 3) / (3 * 2) = 33/6
Now, simplify the fraction 33/6 if possible.
Both 33 and 6 are divisible by 3, so divide both the numerator and denominator by 3:
33/6 = (11 * 3) / (2 * 3) = 11/2
Therefore, the number of pieces that can be cut from the ribbon is 11/2.
However, since it is not specified whether the pieces must be whole numbers, we assume it is possible to cut partial pieces. Therefore, the ribbon can be cut into 11 and two-half (or one) pieces.