You have 3 1/3 yards of ribbon. You want to cut the ribbon into pieces to make bows. Each bow uses 4/5 yard of ribbon. How many bows can you make?
(3 1/3) / (4/5)
(10/3) * (5/4) = 50/12= 4 bows
73 yards
How many bows can you make from 3 2/3 meters of ribbon if 1/4 of a meter of ribbon make one bow?
To find out how many bows you can make with 3 1/3 yards of ribbon, we need to divide the total length of the ribbon by the length used for each bow.
Let's convert 3 1/3 yards of ribbon to a mixed number. A mixed number combines a whole number and a fraction.
To convert 1/3 to a fraction with a common denominator, we can multiply the numerator and denominator by 3. This gives us 3/9.
Now, we can add 3 (whole number) to the fraction 3/9 to get the mixed number: 3 + 3/9 = 3 3/9.
Since 3/9 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3 in this case, we can simplify it to 1/3.
Therefore, 3 1/3 yards of ribbon is equal to 3 1/3 + 1/3 = 3 2/3 yards.
Next, we need to divide the total length of the ribbon (3 2/3 yards) by the length used for each bow (4/5 yard).
To divide a mixed number by a fraction, we can convert the mixed number into an improper fraction. To do this, we multiply the whole number by the denominator of the fraction and add the numerator. Then, we write this sum over the original denominator.
So, the improper fraction for 3 2/3 is (3 * 3 + 2) / 3 = 11/3.
Now, we can divide 11/3 by 4/5.
To divide fractions, we multiply the numerator of the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping the numerator and denominator.
So, (11/3) / (4/5) = (11/3) * (5/4).
Multiplying fractions involves multiplying the numerators together and the denominators together.
(11/3) * (5/4) = (11 * 5) / (3 * 4) = 55/12.
Therefore, you can make 55/12 bows using 3 1/3 yards of ribbon.
To simplify this fraction, we can divide the numerator and denominator by their greatest common divisor, which is 11 in this case.
55/12 divided by 11 equals 5/12.
So, you can make 5/12 bows with 3 1/3 yards of ribbon.