Question

Yasmine needs to create invitations for the party. She has 3/4 of an hour to make the invitations. It takes her 1/12 of an hour to make each card. How many invitations can Yasmine create?

a. Use a number line to represent the quotient.
b. Draw a model to represent the quotient.
c. Compute the quotient without models. Show your work.

Answer 1

Here, the given problem,

The total number of hours =
`(3)/(4)`

Now, the number of hours to make each invitation card =
`(1)/(12)`

Hence, the total number of invitations =
`\text{Total hours}/ \text{Hours needed for an invitation }`

`=(3)/(4)/ (1)/(12)`

a. Scale the number line from 0 to 1,

In which each unit represents
`(1)/(12)`

By the number line,

`(9)/(12)/ (1)/(12)`

`=9`

b. By model,

Take a grid which shows 1 hour and each box of the grid represents 1/12th hour,

By the grid,

`(3)/(4)\text{ part of grid}=(9)/(12)`

`=(3)/(4)/ (1)/(12)=9`

That is, the number of hours to make invitation = 9

c.
`(3)/(4)/ (1)/(12)`

`(3)/(4)* 12=3* 3=9`