Answer:
Part a) Tim has completed the greater amount of work
Part b) They have completed together [tex]\frac{142}{143}[/tex] of the project or [tex]99.3\%[/tex] of the project
Step-by-step explanation:
Part a) Who has completed the greater amount of work?
we have
Jaime has 5/11 of a project completed
Tim has 7/13 of a project completed
Multiply 5/11 by 13/13 and 7/13 by 11/11
so
Jaime ---> [tex]\frac{5}{11}(\frac{13}{13})=\frac{65}{143}[/tex]
Tim ---> [tex]\frac{7}{13}(\frac{11}{11})=\frac{77}{143}[/tex]
Remember that
When fractions have the same denominator, the larger fraction is the one with the larger numerator
[tex]\frac{77}{143} >\frac{65}{143}[/tex]
therefore
Tim has completed the greater amount of work
Part b) How much of the project have they completed together?
we have that
Jaime has 65/143 of a project completed
Tim has 77/143 of a project completed
Sum the fraction of the project completed by Jaime plus the fraction of the project completed by Tim
[tex]\frac{65}{143}+\frac{77}{143}=\frac{142}{143}[/tex]
Convert to percentage
Multiply by 100
[tex]\frac{142}{143}(100)=99.3\%[/tex]
