Question

Jaime has 5 over 11 spaceof a project completed while Tim has finished 7 over 13 spaceof the same project.

Answer 1

Answer:

Part a) Tim has completed the greater amount of work

Part b) They have completed together $\frac{142}{143}$ of the project or $99.3\%$ 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 ---> $\frac{5}{11}(\frac{13}{13})=\frac{65}{143}$

Tim ---> $\frac{7}{13}(\frac{11}{11})=\frac{77}{143}$

Remember that

When fractions have the same denominator, the larger fraction is the one with the larger numerator  

$\frac{77}{143} >\frac{65}{143}$

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

$\frac{65}{143}+\frac{77}{143}=\frac{142}{143}$

Convert to percentage

Multiply by 100

$\frac{142}{143}(100)=99.3\%$