Answer:
Here, the given problem,
The total number of hours = [tex]\frac{3}{4}[/tex]
Now, the number of hours to make each invitation card = [tex]\frac{1}{12}[/tex]
Hence, the total number of invitations = [tex]\text{Total hours}\div \text{Hours needed for an invitation }[/tex]
[tex]=\frac{3}{4}\div \frac{1}{12}[/tex]
a. Scale the number line from 0 to 1,
In which each unit represents [tex]\frac{1}{12}[/tex]
By the number line,
[tex]\frac{9}{12}\div \frac{1}{12}[/tex]
[tex]=9[/tex]
b. By model,
Take a grid which shows 1 hour and each box of the grid represents 1/12th hour,
By the grid,
[tex]\frac{3}{4}\text{ part of grid}=\frac{9}{12}[/tex]
[tex]=\frac{3}{4}\div \frac{1}{12}=9[/tex]
That is, the number of hours to make invitation = 9
c. [tex]\frac{3}{4}\div \frac{1}{12}[/tex]
[tex]\frac{3}{4}\times 12=3\times 3=9[/tex]
