Answer:
[tex]28\frac{1}{2}\ papers[/tex]
Step-by-step explanation:
step 1
Convert mixed numbers to an improper fractions
[tex]4\frac{1}{2}=\frac{4*2+1}{2}=\frac{9}{2}[/tex]
[tex]6\frac{1}{3}=\frac{6*3+1}{3}=\frac{19}{3}[/tex]
step 2
we know that
A teacher reviews 9/2 papers per hour
using proportion
Find how many papers will the teacher review in 19/3 hours
Let
x-----> the number of papers
[tex](9/2)/1=x/(19/3)[/tex]
[tex]x=(19/3)(9/2)[/tex]
[tex]x=28.5\ papers[/tex]
Convert to mixed numbers
[tex]28.5=28\frac{1}{2}\ papers[/tex]
