Question

Suppose Mr.Garcia is making badges using 3/8 yards os ribbon for each badge.He starts with the same amount of ribbon, 3/4 yard. How many badges can he make?Write a division equation that supports your answer.

Answer 1

He can make 2 badges

Explanation:

* Lets explain how to solve the problem

- Mr.Garcia is making badges

- Each badge has 3/8 yards of ribbon

- He starts with 3/4 yard of ribbon

- We need to find how many badges he can make

∵ The length of each badge is 3/8 yard of ribbon

∵ The total length of the ribbon is 3/4 yard

- To find the number of the badges is the quotient of the division

of the total length of the ribbon by the length of each badge

∵ The number of badges = the length of the ribbon ÷ the length

of the badge

∴ The number of badges =
`(3)/(4)` ÷
`(3)/(8)`

- To solve the division of two fraction we change the division

sign by the multiplication sign and reciprocal the fraction after

the division sign

∴ The number of the badges =
`(3)/(4)` ×
`(8)/(3)`

∴ The number of the badges =
`(3*8)/(4*3)=(24)/(12)= 2`

* He can make 2 badges