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maw [93]
3 years ago
12

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

Mathematics
1 answer:
Makovka662 [10]3 years ago
3 0

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\%

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