Answer:
[tex]\dfrac{1}{3}[/tex]
Step-by-step explanation:
If Kara has done 3/5 of the job she promised to do 5/9 of, then to find the proportion of the whole job she has finished, find 3/5 of 5/9.
[tex]\begin{aligned}\sf \implies \dfrac{3}{5}\;of\;\dfrac{5}{9}&=\dfrac{3}{5}\times\dfrac{5}{9}\\\\&=\dfrac{3 \times 5}{5 \times 9}\\\\&=\dfrac{3 \times \diagup\!\!\!\!5}{\diagup\!\!\!\!5 \times 9}\\\\&=\dfrac{3}{9}\\\\&=\dfrac{3 \times 1}{3 \times 3}\\\\&=\dfrac{\diagup\!\!\!\!3 \times 1}{\diagup\!\!\!\!3 \times 3}\\\\&=\dfrac{1}{3}\end{aligned}[/tex]
Therefore, Kara has finished 1/3 of the whole job.
