Using proportions, it is found that the fraction of the job that is left undone is one-ninth
What is a proportion?
A proportion is a fraction of total amount.
In this problem:
- The total amount is the entire job, which is equivalent to 1 = 100%.
- The amount done is the sum of the two contractors fractions, hence the sum of [tex]\frac{5}{9}[/tex] and [tex]\frac{1}{3}[/tex].
- The amount undone is the total amount subtracted by the amount done.
Hence:
[tex]\frac{5}{9} + \frac{1}{3} = \frac{5}{9} + \frac{3}{9} = \frac{8}{9}[/tex]
[tex]1 - \frac{8}{9} = \frac{9}{9} - \frac{8}{9} = \frac{1}{9}[/tex]
Hence one-ninth of the job is left undone.
You can learn more about proportions at https://brainly.com/question/24372153
