A contractor completed five-ninths of a job before a second contractor completed an additional one-third. What fraction of the job is left undone?


one-ninth

four-ninths

two-thirds

eight-ninths

Verified Answer :

The answer is, one-ninth.
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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 \(\frac{5}{9}\) and \(\frac{1}{3}\).
  • The amount undone is the total amount subtracted by the amount done.

Hence:

\(\frac{5}{9} + \frac{1}{3} = \frac{5}{9} + \frac{3}{9} = \frac{8}{9}\)

\(1 - \frac{8}{9} = \frac{9}{9} - \frac{8}{9} = \frac{1}{9}\)

Hence one-ninth of the job is left undone.

You can learn more about proportions at https://brainly.com/question/24372153