Using proportions, it is found that the number of hours for which she practiced her role on Tuesday is:
[tex]\frac{5}{9}[/tex]
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
On Wednesday, she practiced 5/6 of an hour, and on Tuesday she practiced 2/3 of Wednesday's amount, hence the number of hours she practiced on Tuesday was of:
[tex]n = \frac{5}{6} \times \frac{2}{3} = \frac{10}{18} = \frac{5}{9}[/tex].
More can be learned about proportions at https://brainly.com/question/24372153
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