Answer:
[tex]6\frac{1}{2}[/tex] hours more.
Step-by-step explanation:
We have been given that Linda planned to spend 9 hours practicing piano this week. By Tuesday, she had spent 2 1/2 hours practicing.
To find number of hours Linda needs to practice to reach her goal, we will subtract 2 1/2 from 9 as:
[tex]9-2\frac{1}{2}[/tex]
Convert mixed fraction into improper fraction:
[tex]2\frac{1}{2}\Rightarrow \frac{2\times 2+1}{2}=\frac{4+1}{2}=\frac{5}{2}[/tex]
[tex]9-2\frac{1}{2}\Rightarrow 9-\frac{5}{2}[/tex]
[tex]\frac{9*2}{2}-\frac{5}{2}[/tex]
[tex]\frac{18}{2}-\frac{5}{2}[/tex]
Combine numerators:
[tex]\frac{18-5}{2}[/tex]
[tex]\frac{13}{2}[/tex]
[tex]6\frac{1}{2}[/tex]
Therefore, Linda needs to practice [tex]6\frac{1}{2}[/tex] hours more to reach her goal.