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Lesson 6 Exam
Exam
assignments.pennfoster.com/Exams/Random?qNo=050KkrJM2Vw%3D
Exam Lesson Name: General Review
Exam number: 
700489RR
Exam Guidelines
Exam Instructions
Question 2 of 20 :
Select the best answer for the question.
2. Which of the following shows 
27//54 written in prime factored form to help in reducing the fraction to simplest form?
A. 
^(9×3//9×6)
B. 
3×3×3//3×3×3×2
C. 
1//2
D. 
^(27 ×1//27 ×2)
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Lesson 66 Exam\newlineExam\newlineassignments.pennfoster.com/Exams/Random?qNo=050050KkrJM22Vw\%33D\newlineExam Lesson Name: General Review\newlineExam number: 700489RR 700489 \mathrm{RR} \newlineExam Guidelines\newlineExam Instructions\newlineQuestion 22 of 2020 :\newlineSelect the best answer for the question.\newline22. Which of the following shows 27/54 27 / 54 written in prime factored form to help in reducing the fraction to simplest form?\newlineA. 9×3/9×6 { }^{9 \times 3 / 9 \times 6} \newlineB. 3×3×3/3×3×3×2 3 \times 3 \times 3 / 3 \times 3 \times 3 \times 2 \newlineC. 1/2 1 / 2 \newlineD. 27×1/27×2 { }^{27 \times 1 / 27 \times 2} \newlineMark for review (Will be highlighted on the review page)\newline« Previous Question\newlineNext Question : \gg:

Full solution

Q. Lesson 66 Exam\newlineExam\newlineassignments.pennfoster.com/Exams/Random?qNo=050050KkrJM22Vw\%33D\newlineExam Lesson Name: General Review\newlineExam number: 700489RR 700489 \mathrm{RR} \newlineExam Guidelines\newlineExam Instructions\newlineQuestion 22 of 2020 :\newlineSelect the best answer for the question.\newline22. Which of the following shows 27/54 27 / 54 written in prime factored form to help in reducing the fraction to simplest form?\newlineA. 9×3/9×6 { }^{9 \times 3 / 9 \times 6} \newlineB. 3×3×3/3×3×3×2 3 \times 3 \times 3 / 3 \times 3 \times 3 \times 2 \newlineC. 1/2 1 / 2 \newlineD. 27×1/27×2 { }^{27 \times 1 / 27 \times 2} \newlineMark for review (Will be highlighted on the review page)\newline« Previous Question\newlineNext Question : \gg:
  1. Break Down 2727: Let's break down 2727 into its prime factors.\newline27=3×927 = 3 \times 9\newlineBut 99 is not a prime number, so we need to break it down further.\newline9=3×39 = 3 \times 3\newlineSo, 27=3×3×327 = 3 \times 3 \times 3
  2. Break Down 5454: Now let's break down 5454 into its prime factors.\newline54=2×2754 = 2 \times 27\newlineAnd we already know that 27=3×3×327 = 3 \times 3 \times 3\newlineSo, 54=2×3×3×354 = 2 \times 3 \times 3 \times 3
  3. Write Fraction in Prime Form: Now we write the fraction in prime factored form. 2754=(3×3×3)(2×3×3×3)\frac{27}{54} = \frac{(3 \times 3 \times 3)}{(2 \times 3 \times 3 \times 3)}
  4. Cancel Common Factors: We can now cancel out the common factors.\newline(3×3×3)/(2×3×3×3)=1/2(3 \times 3 \times 3)/(2 \times 3 \times 3 \times 3) = 1/2 after canceling out the 33s.

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