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

Answer:

Here, the given problem,

The total number of hours = $\frac{3}{4}$

Now, the number of hours to make each invitation card = $\frac{1}{12}$

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

$=\frac{3}{4}\div \frac{1}{12}$

a. Scale the number line from 0 to 1,

In which each unit represents $\frac{1}{12}$

By the number line,

$\frac{9}{12}\div \frac{1}{12}$

$=9$

b. By model,

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

By the grid,

$\frac{3}{4}\text{ part of grid}=\frac{9}{12}$

$=\frac{3}{4}\div \frac{1}{12}=9$

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

c. $\frac{3}{4}\div \frac{1}{12}$

$\frac{3}{4}\times 12=3\times 3=9$