Yuki has a ribbon that is 11 1/4 feet long. She divides it into pieces that are each 1 7/8 feet long. She uses three pieces to make a bow. How many bows can she make in all?
I need the answer
1 1/3 ft
To find out how many bows Yuki can make, we need to divide the total length of the ribbon by the length of each piece used to make a bow.
First, let's convert the mixed numbers to improper fractions:
- The total length of the ribbon is 11 1/4 feet. Converting it to an improper fraction: 11 + 1/4 = 44/4 + 1/4 = 45/4.
- The length of each piece used to make a bow is 1 7/8 feet. Converting it to an improper fraction: 1 + 7/8 = 8/8 + 7/8 = 15/8.
Now, we can divide the total length of the ribbon by the length of each bow piece:
(45/4) ÷ (15/8)
To divide fractions, we multiply the numerator of the first fraction by the reciprocal of the second fraction:
(45/4) * (8/15)
When we multiply the numerators and denominators, we get:
(45 * 8) / (4 * 15) = 360/60 = 6
Therefore, Yuki can make a total of 6 bows with the given ribbon.
11 !/4 = 90/8
1 7/8 = 15/8
90/15 = ?