Mathematics

Question

100 POINTS AND BRAINLIEST FOR CORRECT ANSWER
(URGENT!!!)

Kara promised to do 5/9 of the job. So far she has done only 3/5 of what she promised to do. Kara has finished _____ of the whole job.

Solve for the blank.

2 Answer

  • Kara has done 27/45 of the job she needed to do all you have to do is fine a common denominator for both fractions and that’s your answer
  • 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.

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